10953264 has 60 divisors (see below), whose sum is σ = 32922744. Its totient is φ = 3128832.

The previous prime is 10953263. The next prime is 10953281. The reversal of 10953264 is 46235901.

It is not an unprimeable number, because it can be changed into a prime (10953263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24 + ... + 4680.

Almost surely, 2^10953264 is an apocalyptic number.

10953264 is a gapful number since it is divisible by the number (14) 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 10953264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16461372).

10953264 is an abundant number, since it is smaller than the sum of its proper divisors (21969480).

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

10953264 is a wasteful number, since it uses less digits than its factorization.

10953264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4682 (or 4669 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 10953264 is about 3309.5715734820. The cubic root of 10953264 is about 222.0825924324.

The spelling of 10953264 in words is "ten million, nine hundred fifty-three thousand, two hundred sixty-four".