52629600 has 72 divisors (see below), whose sum is σ = 171317160. Its totient is φ = 14033920.

The previous prime is 52629559. The next prime is 52629607. The reversal of 52629600 is 692625.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52629607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8565 + ... + 13364.

It is an arithmetic number, because the mean of its divisors is an integer number (2379405).

Almost surely, 2^52629600 is an apocalyptic number.

52629600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52629600 is an abundant number, since it is smaller than the sum of its proper divisors (118687560).

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

52629600 is a wasteful number, since it uses less digits than its factorization.

52629600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21952 (or 21939 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 52629600 is about 7254.6261102830. The cubic root of 52629600 is about 374.7514797814.

The spelling of 52629600 in words is "fifty-two million, six hundred twenty-nine thousand, six hundred".