959576016 has 240 divisors, whose sum is σ = 3096123264. Its totient is φ = 254435328.

The previous prime is 959575997. The next prime is 959576029. The reversal of 959576016 is 610675959.

It is a super-2 number, since 2×959576016² = 1841572260964864512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4118236 + ... + 4118468.

Almost surely, 2^959576016 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 959576016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548061632).

959576016 is an abundant number, since it is smaller than the sum of its proper divisors (2136547248).

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

959576016 is a wasteful number, since it uses less digits than its factorization.

959576016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 48.

The square root of 959576016 is about 30977.0240016694. The cubic root of 959576016 is about 986.3395813388.

The spelling of 959576016 in words is "nine hundred fifty-nine million, five hundred seventy-six thousand, sixteen".