10312960 has 72 divisors (see below), whose sum is σ = 28256256. Its totient is φ = 3532800.

The previous prime is 10312957. The next prime is 10312979. The reversal of 10312960 is 6921301.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8385 + ... + 9535.

It is an arithmetic number, because the mean of its divisors is an integer number (392448).

Almost surely, 2^10312960 is an apocalyptic number.

10312960 is a gapful number since it is divisible by the number (10) 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 10312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14128128).

10312960 is an abundant number, since it is smaller than the sum of its proper divisors (17943296).

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

10312960 is an equidigital number, since it uses as much as digits as its factorization.

10312960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 10312960 is about 3211.3797657705. The cubic root of 10312960 is about 217.6679286194.

The spelling of 10312960 in words is "ten million, three hundred twelve thousand, nine hundred sixty".