634441920 has 224 divisors, whose sum is σ = 2423769600. Its totient is φ = 137355264.

The previous prime is 634441919. The next prime is 634441937. The reversal of 634441920 is 29144436.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125196 + ... + 130164.

It is an arithmetic number, because the mean of its divisors is an integer number (10820400).

Almost surely, 2^634441920 is an apocalyptic number.

634441920 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 634441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211884800).

634441920 is an abundant number, since it is smaller than the sum of its proper divisors (1789327680).

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

634441920 is a wasteful number, since it uses less digits than its factorization.

634441920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5015 (or 5005 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 634441920 is about 25188.1305380133. The cubic root of 634441920 is about 859.2719275081.

The spelling of 634441920 in words is "six hundred thirty-four million, four hundred forty-one thousand, nine hundred twenty".