956615616 has 224 divisors, whose sum is σ = 3123590400. Its totient is φ = 284636160.

The previous prime is 956615593. The next prime is 956615623. The reversal of 956615616 is 616516659.

It is a super-2 number, since 2×956615616² = 1830226873550118912, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1121046 + ... + 1121898.

It is an arithmetic number, because the mean of its divisors is an integer number (13944600).

Almost surely, 2^956615616 is an apocalyptic number.

956615616 is a gapful number since it is divisible by the number (96) 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 956615616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561795200).

956615616 is an abundant number, since it is smaller than the sum of its proper divisors (2166974784).

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

956615616 is a wasteful number, since it uses less digits than its factorization.

956615616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 928 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The square root of 956615616 is about 30929.2032875081. The cubic root of 956615616 is about 985.3242135768.

The spelling of 956615616 in words is "nine hundred fifty-six million, six hundred fifteen thousand, six hundred sixteen".