634620096 has 280 divisors, whose sum is σ = 2124334080. Its totient is φ = 185587200.

The previous prime is 634620089. The next prime is 634620113. The reversal of 634620096 is 690026436.

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

It is a self number, because there is not a number n which added to its sum of digits gives 634620096.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1767565 + ... + 1767923.

Almost surely, 2^634620096 is an apocalyptic number.

634620096 is a gapful number since it is divisible by the number (66) 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 634620096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062167040).

634620096 is an abundant number, since it is smaller than the sum of its proper divisors (1489713984).

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

634620096 is a wasteful number, since it uses less digits than its factorization.

634620096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 634620096 is about 25191.6671937369. The cubic root of 634620096 is about 859.3523589865.

The spelling of 634620096 in words is "six hundred thirty-four million, six hundred twenty thousand, ninety-six".