961265664 has 240 divisors, whose sum is σ = 2972622240. Its totient is φ = 306708480.

The previous prime is 961265531. The next prime is 961265671. The reversal of 961265664 is 466562169.

961265664 is a `hidden beast` number, since 9 + 61 + 26 + 566 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18137062 + ... + 18137114.

It is an arithmetic number, because the mean of its divisors is an integer number (12385926).

Almost surely, 2^961265664 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 961265664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486311120).

961265664 is an abundant number, since it is smaller than the sum of its proper divisors (2011356576).

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

961265664 is an equidigital number, since it uses as much as digits as its factorization.

961265664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 99 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 961265664 is about 31004.2846071313. The cubic root of 961265664 is about 986.9181665507.

The spelling of 961265664 in words is "nine hundred sixty-one million, two hundred sixty-five thousand, six hundred sixty-four".