11633952 has 96 divisors (see below), whose sum is σ = 34836480. Its totient is φ = 3365120.

The previous prime is 11633911. The next prime is 11633971. The reversal of 11633952 is 25933611.

It is a tau number, because it is divible by the number of its divisors (96).

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, 24049 + ... + 24527.

It is an arithmetic number, because the mean of its divisors is an integer number (362880).

Almost surely, 2^11633952 is an apocalyptic number.

11633952 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 11633952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17418240).

11633952 is an abundant number, since it is smaller than the sum of its proper divisors (23202528).

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

11633952 is a wasteful number, since it uses less digits than its factorization.

11633952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 518 counting only the distinct ones).

The product of its digits is 4860, while the sum is 30.

The square root of 11633952 is about 3410.8579565851. The cubic root of 11633952 is about 226.5908781608.

It can be divided in two parts, 1163 and 3952, that added together give a palindrome (5115).

The spelling of 11633952 in words is "eleven million, six hundred thirty-three thousand, nine hundred fifty-two".