634906080 has 384 divisors, whose sum is σ = 2351462400. Its totient is φ = 159823872.

The previous prime is 634906073. The next prime is 634906081. The reversal of 634906080 is 80609436.

634906080 is a `hidden beast` number, since 6 + 3 + 49 + 0 + 608 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634906081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10761091 + ... + 10761149.

It is an arithmetic number, because the mean of its divisors is an integer number (6123600).

Almost surely, 2^634906080 is an apocalyptic number.

634906080 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 634906080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175731200).

634906080 is an abundant number, since it is smaller than the sum of its proper divisors (1716556320).

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

634906080 is a wasteful number, since it uses less digits than its factorization.

634906080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 634906080 is about 25197.3427170406. The cubic root of 634906080 is about 859.4814252418.

The spelling of 634906080 in words is "six hundred thirty-four million, nine hundred six thousand, eighty".