11807952 has 80 divisors (see below), whose sum is σ = 33331200. Its totient is φ = 3580416.

The previous prime is 11807941. The next prime is 11807977. The reversal of 11807952 is 25970811.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 79174 + ... + 79322.

It is an arithmetic number, because the mean of its divisors is an integer number (416640).

Almost surely, 2^11807952 is an apocalyptic number.

11807952 is a gapful number since it is divisible by the number (12) 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 11807952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16665600).

11807952 is an abundant number, since it is smaller than the sum of its proper divisors (21523248).

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

11807952 is a wasteful number, since it uses less digits than its factorization.

11807952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The square root of 11807952 is about 3436.2700708763. The cubic root of 11807952 is about 227.7149407649.

The spelling of 11807952 in words is "eleven million, eight hundred seven thousand, nine hundred fifty-two".