1966603968 has 448 divisors, whose sum is σ = 7152640000. Its totient is φ = 517321728.

The previous prime is 1966603963. The next prime is 1966603973. The reversal of 1966603968 is 8693066691.

It is an interprime number because it is at equal distance from previous prime (1966603963) and next prime (1966603973).

It is a tau number, because it is divible by the number of its divisors (448).

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

It is not an unprimeable number, because it can be changed into a prime (1966603963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9882333 + ... + 9882531.

Almost surely, 2^1966603968 is an apocalyptic number.

1966603968 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 1966603968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3576320000).

1966603968 is an abundant number, since it is smaller than the sum of its proper divisors (5186036032).

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

1966603968 is a wasteful number, since it uses less digits than its factorization.

1966603968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 1966603968 is about 44346.4087384762. The cubic root of 1966603968 is about 1252.8689235579.

The spelling of 1966603968 in words is "one billion, nine hundred sixty-six million, six hundred three thousand, nine hundred sixty-eight".