11631552 has 56 divisors (see below), whose sum is σ = 31851600. Its totient is φ = 3741696.

The previous prime is 11631547. The next prime is 11631559. The reversal of 11631552 is 25513611.

11631552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11631559) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4524 + ... + 6612.

Almost surely, 2^11631552 is an apocalyptic number.

11631552 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 11631552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15925800).

11631552 is an abundant number, since it is smaller than the sum of its proper divisors (20220048).

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

11631552 is a wasteful number, since it uses less digits than its factorization.

11631552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2133 (or 2123 counting only the distinct ones).

The product of its digits is 900, while the sum is 24.

The square root of 11631552 is about 3410.5061207979. The cubic root of 11631552 is about 226.5752957371.

The spelling of 11631552 in words is "eleven million, six hundred thirty-one thousand, five hundred fifty-two".