965088000 has 288 divisors, whose sum is σ = 3564899520. Its totient is φ = 257126400.

The previous prime is 965087993. The next prime is 965088029. The reversal of 965088000 is 880569.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 863442 + ... + 864558.

Almost surely, 2^965088000 is an apocalyptic number.

965088000 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 965088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782449760).

965088000 is an abundant number, since it is smaller than the sum of its proper divisors (2599811520).

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

965088000 is a wasteful number, since it uses less digits than its factorization.

965088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 965088000 is about 31065.8655118443. The cubic root of 965088000 is about 988.2245497031.

The spelling of 965088000 in words is "nine hundred sixty-five million, eighty-eight thousand".