53635644 has 72 divisors (see below), whose sum is σ = 141556688. Its totient is φ = 17107200.

The previous prime is 53635627. The next prime is 53635657. The reversal of 53635644 is 44653635.

53635644 is a `hidden beast` number, since 5 + 3 + 6 + 3 + 5 + 644 = 666.

53635644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 53635599 and 53635608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88944 + ... + 89544.

Almost surely, 2^53635644 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 53635644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70778344).

53635644 is an abundant number, since it is smaller than the sum of its proper divisors (87921044).

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

53635644 is a wasteful number, since it uses less digits than its factorization.

53635644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 710 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 53635644 is about 7323.6359822154. The cubic root of 53635644 is about 377.1242850457.

Subtracting from 53635644 its reverse (44653635), we obtain a square (8982009 = 2997²).

The spelling of 53635644 in words is "fifty-three million, six hundred thirty-five thousand, six hundred forty-four".