959616000 has 792 divisors, whose sum is σ = 4259250216. Its totient is φ = 206438400.

The previous prime is 959615999. The next prime is 959616011. The reversal of 959616000 is 616959.

959616000 is a `hidden beast` number, since 9 + 596 + 1 + 60 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4064256 + 955551744 = 2016^2 + 30912^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56447992 + ... + 56448008.

Almost surely, 2^959616000 is an apocalyptic number.

959616000 is a gapful number since it is divisible by the number (90) 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 959616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2129625108).

959616000 is an abundant number, since it is smaller than the sum of its proper divisors (3299634216).

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

959616000 is a wasteful number, since it uses less digits than its factorization.

959616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 959616000 is about 30977.6693765041. The cubic root of 959616000 is about 986.3532808802.

The spelling of 959616000 in words is "nine hundred fifty-nine million, six hundred sixteen thousand".