11632560 has 80 divisors (see below), whose sum is σ = 37973760. Its totient is φ = 2937600.

The previous prime is 11632529. The next prime is 11632571. The reversal of 11632560 is 6523611.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11632560.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3285 + ... + 5835.

It is an arithmetic number, because the mean of its divisors is an integer number (474672).

Almost surely, 2^11632560 is an apocalyptic number.

11632560 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 11632560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18986880).

11632560 is an abundant number, since it is smaller than the sum of its proper divisors (26341200).

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

11632560 is a wasteful number, since it uses less digits than its factorization.

11632560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2586 (or 2580 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 11632560 is about 3410.6538962492. The cubic root of 11632560 is about 226.5818406161.

The spelling of 11632560 in words is "eleven million, six hundred thirty-two thousand, five hundred sixty".