11517920 has 24 divisors (see below), whose sum is σ = 27211464. Its totient is φ = 4607104.

The previous prime is 11517911. The next prime is 11517929. The reversal of 11517920 is 2971511.

It is an interprime number because it is at equal distance from previous prime (11517911) and next prime (11517929).

It is a super-2 number, since 2×11517920² = 265324962252800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11517920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11517929) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35834 + ... + 36153.

It is an arithmetic number, because the mean of its divisors is an integer number (1133811).

Almost surely, 2^11517920 is an apocalyptic number.

11517920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11517920 is an abundant number, since it is smaller than the sum of its proper divisors (15693544).

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

11517920 is an equidigital number, since it uses as much as digits as its factorization.

11517920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72002 (or 71994 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 26.

The square root of 11517920 is about 3393.8061229245. The cubic root of 11517920 is about 225.8350533706.

The spelling of 11517920 in words is "eleven million, five hundred seventeen thousand, nine hundred twenty".