634096320 has 448 divisors, whose sum is σ = 2457907200. Its totient is φ = 136396800.

The previous prime is 634096319. The next prime is 634096321. The reversal of 634096320 is 23690436.

It is an interprime number because it is at equal distance from previous prime (634096319) and next prime (634096321).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (634096321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4255606 + ... + 4255754.

It is an arithmetic number, because the mean of its divisors is an integer number (5486400).

Almost surely, 2^634096320 is an apocalyptic number.

634096320 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 634096320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228953600).

634096320 is an abundant number, since it is smaller than the sum of its proper divisors (1823810880).

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

634096320 is a wasteful number, since it uses less digits than its factorization.

634096320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 634096320 is about 25181.2692293300. The cubic root of 634096320 is about 859.1158752323.

The spelling of 634096320 in words is "six hundred thirty-four million, ninety-six thousand, three hundred twenty".