961611264 has 240 divisors, whose sum is σ = 2949186240. Its totient is φ = 312698880.

The previous prime is 961611257. The next prime is 961611293. The reversal of 961611264 is 462116169.

961611264 is a `hidden beast` number, since 9 + 616 + 11 + 26 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7340479 + ... + 7340609.

It is an arithmetic number, because the mean of its divisors is an integer number (12288276).

Almost surely, 2^961611264 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 961611264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474593120).

961611264 is an abundant number, since it is smaller than the sum of its proper divisors (1987574976).

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

961611264 is an equidigital number, since it uses as much as digits as its factorization.

961611264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 195 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 961611264 is about 31009.8575295018. The cubic root of 961611264 is about 987.0364266265.

The spelling of 961611264 in words is "nine hundred sixty-one million, six hundred eleven thousand, two hundred sixty-four".