10972960 has 24 divisors (see below), whose sum is σ = 25923996. Its totient is φ = 4389120.

The previous prime is 10972919. The next prime is 10972999. The reversal of 10972960 is 6927901.

10972960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10471696 + 501264 = 3236^2 + 708^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34131 + ... + 34450.

Almost surely, 2^10972960 is an apocalyptic number.

10972960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10972960 is an abundant number, since it is smaller than the sum of its proper divisors (14951036).

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

10972960 is an equidigital number, since it uses as much as digits as its factorization.

10972960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68596 (or 68588 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 34.

The square root of 10972960 is about 3312.5458487393. The cubic root of 10972960 is about 222.2156279525.

The spelling of 10972960 in words is "ten million, nine hundred seventy-two thousand, nine hundred sixty".