953760864 has 192 divisors, whose sum is σ = 2969809920. Its totient is φ = 262379520.

The previous prime is 953760859. The next prime is 953760883. The reversal of 953760864 is 468067359.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2172357 + ... + 2172795.

It is an arithmetic number, because the mean of its divisors is an integer number (15467760).

Almost surely, 2^953760864 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 953760864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484904960).

953760864 is an abundant number, since it is smaller than the sum of its proper divisors (2016049056).

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

953760864 is a wasteful number, since it uses less digits than its factorization.

953760864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 953760864 is about 30883.0190234051. The cubic root of 953760864 is about 984.3430953751.

The spelling of 953760864 in words is "nine hundred fifty-three million, seven hundred sixty thousand, eight hundred sixty-four".