11629752 has 32 divisors (see below), whose sum is σ = 29252880. Its totient is φ = 3852800.

The previous prime is 11629741. The next prime is 11629753. The reversal of 11629752 is 25792611.

11629752 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-2 number, since 2×11629752² = 270502263163008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11629753) 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, 2752 + ... + 5552.

Almost surely, 2^11629752 is an apocalyptic number.

11629752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11629752 is an abundant number, since it is smaller than the sum of its proper divisors (17623128).

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

11629752 is a wasteful number, since it uses less digits than its factorization.

11629752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2983 (or 2979 counting only the distinct ones).

The product of its digits is 7560, while the sum is 33.

The square root of 11629752 is about 3410.2422201363. The cubic root of 11629752 is about 226.5636075126.

The spelling of 11629752 in words is "eleven million, six hundred twenty-nine thousand, seven hundred fifty-two".