964957560 has 256 divisors, whose sum is σ = 3522355200. Its totient is φ = 206572032.

The previous prime is 964957547. The next prime is 964957573. The reversal of 964957560 is 65759469.

It is an interprime number because it is at equal distance from previous prime (964957547) and next prime (964957573).

It is a super-2 number, since 2×964957560² = 1862286185202307200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1643587 + ... + 1644173.

It is an arithmetic number, because the mean of its divisors is an integer number (13759200).

Almost surely, 2^964957560 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 964957560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761177600).

964957560 is an abundant number, since it is smaller than the sum of its proper divisors (2557397640).

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

964957560 is a wasteful number, since it uses less digits than its factorization.

964957560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 51.

The square root of 964957560 is about 31063.7660305379. The cubic root of 964957560 is about 988.1800253288.

The spelling of 964957560 in words is "nine hundred sixty-four million, nine hundred fifty-seven thousand, five hundred sixty".