634772520 has 384 divisors, whose sum is σ = 2365459200. Its totient is φ = 146644992.

The previous prime is 634772513. The next prime is 634772521. The reversal of 634772520 is 25277436.

It is a happy number.

634772520 is a `hidden beast` number, since 63 + 4 + 7 + 72 + 520 = 666.

634772520 is digitally balanced in base 2 and base 6, because in such bases 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 not an unprimeable number, because it can be changed into a prime (634772521) 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, 6162789 + ... + 6162891.

It is an arithmetic number, because the mean of its divisors is an integer number (6160050).

Almost surely, 2^634772520 is an apocalyptic number.

634772520 is a gapful number since it is divisible by the number (60) 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 634772520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182729600).

634772520 is an abundant number, since it is smaller than the sum of its proper divisors (1730686680).

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

634772520 is a wasteful number, since it uses less digits than its factorization.

634772520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 634772520 is about 25194.6922981806. The cubic root of 634772520 is about 859.4211536557.

The spelling of 634772520 in words is "six hundred thirty-four million, seven hundred seventy-two thousand, five hundred twenty".