964997568 has 126 divisors (see below), whose sum is σ = 2892393504. Its totient is φ = 307583232.

The previous prime is 964997567. The next prime is 964997573. The reversal of 964997568 is 865799469.

It is a happy number.

964997568 is a `hidden beast` number, since 9 + 64 + 9 + 9 + 7 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (964997563) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 303121 + ... + 306287.

It is an arithmetic number, because the mean of its divisors is an integer number (22955504).

Almost surely, 2^964997568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 964997568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446196752).

964997568 is an abundant number, since it is smaller than the sum of its proper divisors (1927395936).

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

964997568 is a wasteful number, since it uses less digits than its factorization.

964997568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3231 (or 3195 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 63.

The square root of 964997568 is about 31064.4099895684. The cubic root of 964997568 is about 988.1936820814.

The spelling of 964997568 in words is "nine hundred sixty-four million, nine hundred ninety-seven thousand, five hundred sixty-eight".