63634644 has 36 divisors (see below), whose sum is σ = 162669780. Its totient is φ = 20972160.

The previous prime is 63634639. The next prime is 63634687. The reversal of 63634644 is 44643636.

63634644 is a `hidden beast` number, since 6 + 3 + 6 + 3 + 4 + 644 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4928400 + 58706244 = 2220^2 + 7662^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 63634599 and 63634608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6727 + ... + 13134.

It is an arithmetic number, because the mean of its divisors is an integer number (4518605).

Almost surely, 2^63634644 is an apocalyptic number.

It is an amenable number.

63634644 is an abundant number, since it is smaller than the sum of its proper divisors (99035136).

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

63634644 is a wasteful number, since it uses less digits than its factorization.

63634644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19960 (or 19955 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The square root of 63634644 is about 7977.1325675333. The cubic root of 63634644 is about 399.2373886505.

The spelling of 63634644 in words is "sixty-three million, six hundred thirty-four thousand, six hundred forty-four".