865362960 has 640 divisors, whose sum is σ = 3834040320. Its totient is φ = 175633920.

The previous prime is 865362943. The next prime is 865362989. The reversal of 865362960 is 69263568.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20124699 + ... + 20124741.

It is an arithmetic number, because the mean of its divisors is an integer number (5990688).

Almost surely, 2^865362960 is an apocalyptic number.

865362960 is a gapful number since it is divisible by the number (80) 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 865362960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917020160).

865362960 is an abundant number, since it is smaller than the sum of its proper divisors (2968677360).

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

865362960 is a wasteful number, since it uses less digits than its factorization.

865362960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 865362960 is about 29417.0521976625. The cubic root of 865362960 is about 952.9411930929.

The spelling of 865362960 in words is "eight hundred sixty-five million, three hundred sixty-two thousand, nine hundred sixty".