634798080 has 480 divisors, whose sum is σ = 2642330880. Its totient is φ = 141557760.

The previous prime is 634798063. The next prime is 634798093. The reversal of 634798080 is 80897436.

It is a happy number.

634798080 is a `hidden beast` number, since 634 + 7 + 9 + 8 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15482860 + ... + 15482900.

It is an arithmetic number, because the mean of its divisors is an integer number (5504856).

Almost surely, 2^634798080 is an apocalyptic number.

634798080 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 634798080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321165440).

634798080 is an abundant number, since it is smaller than the sum of its proper divisors (2007532800).

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

634798080 is an equidigital number, since it uses as much as digits as its factorization.

634798080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 634798080 is about 25195.1995427700. The cubic root of 634798080 is about 859.4326887643.

The spelling of 634798080 in words is "six hundred thirty-four million, seven hundred ninety-eight thousand, eighty".