11872640 has 64 divisors (see below), whose sum is σ = 30587760. Its totient is φ = 4380672.

The previous prime is 11872603. The next prime is 11872643. The reversal of 11872640 is 4627811.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11872643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7607 + ... + 9033.

Almost surely, 2^11872640 is an apocalyptic number.

11872640 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 11872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15293880).

11872640 is an abundant number, since it is smaller than the sum of its proper divisors (18715120).

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

11872640 is a wasteful number, since it uses less digits than its factorization.

11872640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 11872640 is about 3445.6697462177. The cubic root of 11872640 is about 228.1300171537.

The spelling of 11872640 in words is "eleven million, eight hundred seventy-two thousand, six hundred forty".