52642632 has 128 divisors (see below), whose sum is σ = 157593600. Its totient is φ = 14343168.

The previous prime is 52642631. The next prime is 52642633. The reversal of 52642632 is 23624625.

It is an interprime number because it is at equal distance from previous prime (52642631) and next prime (52642633).

It is a self number, because there is not a number n which added to its sum of digits gives 52642632.

It is not an unprimeable number, because it can be changed into a prime (52642631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 465808 + ... + 465920.

It is an arithmetic number, because the mean of its divisors is an integer number (1231200).

Almost surely, 2^52642632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52642632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78796800).

52642632 is an abundant number, since it is smaller than the sum of its proper divisors (104950968).

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

52642632 is a wasteful number, since it uses less digits than its factorization.

52642632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 231 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The square root of 52642632 is about 7255.5242401911. The cubic root of 52642632 is about 374.7824088798.

The spelling of 52642632 in words is "fifty-two million, six hundred forty-two thousand, six hundred thirty-two".