1966491648 has 384 divisors, whose sum is σ = 6580828800. Its totient is φ = 575078400.

The previous prime is 1966491647. The next prime is 1966491649. The reversal of 1966491648 is 8461946691.

It is a happy number.

1966491648 is a `hidden beast` number, since 1 + 96 + 6 + 491 + 64 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1966491647) and next prime (1966491649).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1966491594 and 1966491603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1966491647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32237538 + ... + 32237598.

It is an arithmetic number, because the mean of its divisors is an integer number (17137575).

Almost surely, 2^1966491648 is an apocalyptic number.

1966491648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1966491648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3290414400).

1966491648 is an abundant number, since it is smaller than the sum of its proper divisors (4614337152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1966491648 is a wasteful number, since it uses less digits than its factorization.

1966491648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 130 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 1966491648 is about 44345.1423269787. The cubic root of 1966491648 is about 1252.8450711167.

The spelling of 1966491648 in words is "one billion, nine hundred sixty-six million, four hundred ninety-one thousand, six hundred forty-eight".