10632960 has 216 divisors, whose sum is σ = 40176864. Its totient is φ = 2580480.

The previous prime is 10632959. The next prime is 10632991. The reversal of 10632960 is 6923601.

It is a happy number.

It is a super-2 number, since 2×10632960² = 226119676723200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149725 + ... + 149795.

It is an arithmetic number, because the mean of its divisors is an integer number (186004).

Almost surely, 2^10632960 is an apocalyptic number.

10632960 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 10632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20088432).

10632960 is an abundant number, since it is smaller than the sum of its proper divisors (29543904).

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

10632960 is a wasteful number, since it uses less digits than its factorization.

10632960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 10632960 is about 3260.8219822615. The cubic root of 10632960 is about 219.8963699259.

The spelling of 10632960 in words is "ten million, six hundred thirty-two thousand, nine hundred sixty".