634141872 has 400 divisors, whose sum is σ = 2386236160. Its totient is φ = 157883904.

The previous prime is 634141847. The next prime is 634141877. The reversal of 634141872 is 278141436.

634141872 is a `hidden beast` number, since 63 + 414 + 187 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (634141877) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2240643 + ... + 2240925.

Almost surely, 2^634141872 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 634141872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193118080).

634141872 is an abundant number, since it is smaller than the sum of its proper divisors (1752094288).

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

634141872 is a wasteful number, since it uses less digits than its factorization.

634141872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 327 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 634141872 is about 25182.1736948977. The cubic root of 634141872 is about 859.1364470330.

The spelling of 634141872 in words is "six hundred thirty-four million, one hundred forty-one thousand, eight hundred seventy-two".