11652816 has 80 divisors (see below), whose sum is σ = 34918400. Its totient is φ = 3279744.

The previous prime is 11652793. The next prime is 11652827. The reversal of 11652816 is 61825611.

11652816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26325 + ... + 26763.

It is an arithmetic number, because the mean of its divisors is an integer number (436480).

Almost surely, 2^11652816 is an apocalyptic number.

11652816 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 11652816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17459200).

11652816 is an abundant number, since it is smaller than the sum of its proper divisors (23265584).

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

11652816 is a wasteful number, since it uses less digits than its factorization.

11652816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 530 counting only the distinct ones).

The product of its digits is 2880, while the sum is 30.

The square root of 11652816 is about 3413.6221231999. The cubic root of 11652816 is about 226.7132814548.

The spelling of 11652816 in words is "eleven million, six hundred fifty-two thousand, eight hundred sixteen".