634737636 has 243 divisors, whose sum is σ = 1947851451. Its totient is φ = 174140928.

The previous prime is 634737599. The next prime is 634737637. The reversal of 634737636 is 636737436.

The square root of 634737636 is 25194.

It is a perfect power (a square), and thus also a powerful number.

634737636 is a `hidden beast` number, since 6 + 3 + 4 + 7 + 3 + 7 + 636 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5731236 + 629006400 = 2394^2 + 25080^2 .

Its product of digits (1143072) is a multiple of the sum of its prime divisors (54).

It is a junction number, because it is equal to n+sod(n) for n = 634737591 and 634737600.

It is not an unprimeable number, because it can be changed into a prime (634737637) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 33407235 + ... + 33407253.

Almost surely, 2^634737636 is an apocalyptic number.

634737636 is the 25194-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 634737636

634737636 is an abundant number, since it is smaller than the sum of its proper divisors (1313113815).

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

634737636 is a wasteful number, since it uses less digits than its factorization.

634737636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 54 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 45.

The cubic root of 634737636 is about 859.4054101697.

The spelling of 634737636 in words is "six hundred thirty-four million, seven hundred thirty-seven thousand, six hundred thirty-six".