11911520 has 48 divisors (see below), whose sum is σ = 28440720. Its totient is φ = 4713984.

The previous prime is 11911519. The next prime is 11911553. The reversal of 11911520 is 2511911.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11911492 and 11911501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17099 + ... + 17781.

It is an arithmetic number, because the mean of its divisors is an integer number (592515).

Almost surely, 2^11911520 is an apocalyptic number.

11911520 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 11911520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14220360).

11911520 is an abundant number, since it is smaller than the sum of its proper divisors (16529200).

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

11911520 is a wasteful number, since it uses less digits than its factorization.

11911520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 20.

The square root of 11911520 is about 3451.3069988049. The cubic root of 11911520 is about 228.3787692036.

The spelling of 11911520 in words is "eleven million, nine hundred eleven thousand, five hundred twenty".