53638632 has 64 divisors (see below), whose sum is σ = 154152000. Its totient is φ = 17260992.

The previous prime is 53638601. The next prime is 53638639. The reversal of 53638632 is 23683635.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (53638639) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1983 + ... + 10545.

It is an arithmetic number, because the mean of its divisors is an integer number (2408625).

Almost surely, 2^53638632 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 53638632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77076000).

53638632 is an abundant number, since it is smaller than the sum of its proper divisors (100513368).

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

53638632 is a wasteful number, since it uses less digits than its factorization.

53638632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8607 (or 8597 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 53638632 is about 7323.8399764058. The cubic root of 53638632 is about 377.1312880158.

The spelling of 53638632 in words is "fifty-three million, six hundred thirty-eight thousand, six hundred thirty-two".