1966467888 has 320 divisors, whose sum is σ = 7268106240. Its totient is φ = 494035200.

The previous prime is 1966467887. The next prime is 1966467907. The reversal of 1966467888 is 8887646691.

1966467888 is a `hidden beast` number, since 1 + 96 + 6 + 467 + 8 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is not an unprimeable number, because it can be changed into a prime (1966467887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1030231 + ... + 1032137.

It is an arithmetic number, because the mean of its divisors is an integer number (22712832).

Almost surely, 2^1966467888 is an apocalyptic number.

1966467888 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 1966467888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3634053120).

1966467888 is an abundant number, since it is smaller than the sum of its proper divisors (5301638352).

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

1966467888 is a wasteful number, since it uses less digits than its factorization.

1966467888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1961 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 63.

The square root of 1966467888 is about 44344.8744276044. The cubic root of 1966467888 is about 1252.8400252916.

The spelling of 1966467888 in words is "one billion, nine hundred sixty-six million, four hundred sixty-seven thousand, eight hundred eighty-eight".