634500864 has 180 divisors, whose sum is σ = 1945450584. Its totient is φ = 205535232.

The previous prime is 634500859. The next prime is 634500907. The reversal of 634500864 is 468005436.

It is a super-3 number, since 3×634500864³ (a number of 27 digits) contains 333 as substring.

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

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 19 ways as a sum of consecutive naturals, for example, 766819 + ... + 767645.

Almost surely, 2^634500864 is an apocalyptic number.

634500864 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 634500864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972725292).

634500864 is an abundant number, since it is smaller than the sum of its proper divisors (1310949720).

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

634500864 is an equidigital number, since it uses as much as digits as its factorization.

634500864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 634500864 is about 25189.3005857646. The cubic root of 634500864 is about 859.2985374332.

The spelling of 634500864 in words is "six hundred thirty-four million, five hundred thousand, eight hundred sixty-four".