53644635 has 96 divisors (see below), whose sum is σ = 108838080. Its totient is φ = 24192000.

The previous prime is 53644627. The next prime is 53644637.

53644635 is a `hidden beast` number, since 5 + 3 + 644 + 6 + 3 + 5 = 666.

53644635 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 53644635 - 2³ = 53644627 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 53644635.

It is not an unprimeable number, because it can be changed into a prime (53644637) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 531085 + ... + 531185.

It is an arithmetic number, because the mean of its divisors is an integer number (1133730).

Almost surely, 2^53644635 is an apocalyptic number.

53644635 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

53644635 is an abundant number, since it is smaller than the sum of its proper divisors (55193445).

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

53644635 is a wasteful number, since it uses less digits than its factorization.

53644635 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 186 counting only the distinct ones).

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

The square root of 53644635 is about 7324.2497909342. The cubic root of 53644635 is about 377.1453564499.

It can be divided in two parts, 5364 and 4635, that added together give a palindrome (9999).

The spelling of 53644635 in words is "fifty-three million, six hundred forty-four thousand, six hundred thirty-five".