11765952 has 112 divisors (see below), whose sum is σ = 37795200. Its totient is φ = 3559680.

The previous prime is 11765927. The next prime is 11765953. The reversal of 11765952 is 25956711.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11765953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18699 + ... + 19317.

Almost surely, 2^11765952 is an apocalyptic number.

11765952 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 11765952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18897600).

11765952 is an abundant number, since it is smaller than the sum of its proper divisors (26029248).

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

11765952 is a wasteful number, since it uses less digits than its factorization.

11765952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 635 counting only the distinct ones).

The product of its digits is 18900, while the sum is 36.

The square root of 11765952 is about 3430.1533493417. The cubic root of 11765952 is about 227.4446316974. Note that the first 3 decimals are identical.

It can be divided in two parts, 117659 and 52, that added together give a palindrome (117711).

The spelling of 11765952 in words is "eleven million, seven hundred sixty-five thousand, nine hundred fifty-two".