10632560 has 40 divisors (see below), whose sum is σ = 25578720. Its totient is φ = 4105472.

The previous prime is 10632553. The next prime is 10632569. The reversal of 10632560 is 6523601.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10632560² = 226102664307200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10632569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29 + ... + 4611.

It is an arithmetic number, because the mean of its divisors is an integer number (639468).

Almost surely, 2^10632560 is an apocalyptic number.

10632560 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 10632560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12789360).

10632560 is an abundant number, since it is smaller than the sum of its proper divisors (14946160).

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

10632560 is a wasteful number, since it uses less digits than its factorization.

10632560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4625 (or 4619 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 10632560 is about 3260.7606474564. The cubic root of 10632560 is about 219.8936124733.

The spelling of 10632560 in words is "ten million, six hundred thirty-two thousand, five hundred sixty".