634734880 has 96 divisors (see below), whose sum is σ = 1621066608. Its totient is φ = 233472000.

The previous prime is 634734853. The next prime is 634734929. The reversal of 634734880 is 88437436.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 143137296 + 491597584 = 11964^2 + 22172^2 .

It is a super-2 number, since 2×634734880² = 805776735777228800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 833700 + ... + 834460.

Almost surely, 2^634734880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 634734880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810533304).

634734880 is an abundant number, since it is smaller than the sum of its proper divisors (986331728).

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

634734880 is a wasteful number, since it uses less digits than its factorization.

634734880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 43.

The square root of 634734880 is about 25193.9453043782. The cubic root of 634734880 is about 859.4041663357.

The spelling of 634734880 in words is "six hundred thirty-four million, seven hundred thirty-four thousand, eight hundred eighty".