634152960 has 288 divisors, whose sum is σ = 2514395520. Its totient is φ = 144801792.

The previous prime is 634152929. The next prime is 634152979. The reversal of 634152960 is 69251436.

It is a happy number.

634152960 is a `hidden beast` number, since 634 + 15 + 2 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 644629 + ... + 645611.

It is an arithmetic number, because the mean of its divisors is an integer number (8730540).

Almost surely, 2^634152960 is an apocalyptic number.

634152960 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 634152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257197760).

634152960 is an abundant number, since it is smaller than the sum of its proper divisors (1880242560).

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

634152960 is a wasteful number, since it uses less digits than its factorization.

634152960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 634152960 is about 25182.3938496720. The cubic root of 634152960 is about 859.1414543506.

The spelling of 634152960 in words is "six hundred thirty-four million, one hundred fifty-two thousand, nine hundred sixty".