11632152 has 32 divisors (see below), whose sum is σ = 33235200. Its totient is φ = 3323424.

The previous prime is 11632141. The next prime is 11632157. The reversal of 11632152 is 25123611.

11632152 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×11632152³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11632157) 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, 34452 + ... + 34787.

It is an arithmetic number, because the mean of its divisors is an integer number (1038600).

Almost surely, 2^11632152 is an apocalyptic number.

11632152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11632152 is an abundant number, since it is smaller than the sum of its proper divisors (21603048).

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

11632152 is a wasteful number, since it uses less digits than its factorization.

11632152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69255 (or 69251 counting only the distinct ones).

The product of its digits is 360, while the sum is 21.

The square root of 11632152 is about 3410.5940831474. The cubic root of 11632152 is about 226.5791915439.

Adding to 11632152 its reverse (25123611), we get a palindrome (36755763).

The spelling of 11632152 in words is "eleven million, six hundred thirty-two thousand, one hundred fifty-two".