11513856 has 52 divisors (see below), whose sum is σ = 30732632. Its totient is φ = 3833856.

The previous prime is 11513851. The next prime is 11513861. The reversal of 11513856 is 65831511.

It is an interprime number because it is at equal distance from previous prime (11513851) and next prime (11513861).

It is not an unprimeable number, because it can be changed into a prime (11513851) 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, 11820 + ... + 12756.

Almost surely, 2^11513856 is an apocalyptic number.

11513856 is a gapful number since it is divisible by the number (16) 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 11513856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15366316).

11513856 is an abundant number, since it is smaller than the sum of its proper divisors (19218776).

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

11513856 is an frugal number, since it uses more digits than its factorization.

11513856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 942 counting only the distinct ones).

The product of its digits is 3600, while the sum is 30.

The square root of 11513856 is about 3393.2073323038. The cubic root of 11513856 is about 225.8084889208.

The spelling of 11513856 in words is "eleven million, five hundred thirteen thousand, eight hundred fifty-six".