11979520 has 108 divisors (see below), whose sum is σ = 33554304. Its totient is φ = 4085760.

The previous prime is 11979511. The next prime is 11979553. The reversal of 11979520 is 2597911.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62625 + ... + 62815.

It is an arithmetic number, because the mean of its divisors is an integer number (310688).

Almost surely, 2^11979520 is an apocalyptic number.

11979520 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 11979520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16777152).

11979520 is an abundant number, since it is smaller than the sum of its proper divisors (21574784).

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

11979520 is an equidigital number, since it uses as much as digits as its factorization.

11979520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 34.

The square root of 11979520 is about 3461.1443194412. The cubic root of 11979520 is about 228.8125313038.

The spelling of 11979520 in words is "eleven million, nine hundred seventy-nine thousand, five hundred twenty".