11632640 has 64 divisors (see below), whose sum is σ = 28311120. Its totient is φ = 4587520.

The previous prime is 11632637. The next prime is 11632679. The reversal of 11632640 is 4623611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nialpdrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 163805 + ... + 163875.

Almost surely, 2^11632640 is an apocalyptic number.

11632640 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 11632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14155560).

11632640 is an abundant number, since it is smaller than the sum of its proper divisors (16678480).

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

11632640 is an frugal number, since it uses more digits than its factorization.

11632640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 11632640 is about 3410.6656241854. The cubic root of 11632640 is about 226.5823600347.

The spelling of 11632640 in words is "eleven million, six hundred thirty-two thousand, six hundred forty".