634489920 has 168 divisors, whose sum is σ = 2198339520. Its totient is φ = 167961600.

The previous prime is 634489913. The next prime is 634489943. The reversal of 634489920 is 29984436.

634489920 is a `hidden beast` number, since 634 + 4 + 8 + 9 + 9 + 2 + 0 = 666.

634489920 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 434151 + ... + 435609.

Almost surely, 2^634489920 is an apocalyptic number.

634489920 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 634489920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099169760).

634489920 is an abundant number, since it is smaller than the sum of its proper divisors (1563849600).

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

634489920 is a wasteful number, since it uses less digits than its factorization.

634489920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 634489920 is about 25189.0833497370. The cubic root of 634489920 is about 859.2935969528.

The spelling of 634489920 in words is "six hundred thirty-four million, four hundred eighty-nine thousand, nine hundred twenty".