634417920 has 360 divisors, whose sum is σ = 2359470960. Its totient is φ = 162570240.

The previous prime is 634417909. The next prime is 634417933. The reversal of 634417920 is 29714436.

634417920 is a `hidden beast` number, since 634 + 4 + 17 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 3006615 + ... + 3006825.

It is an arithmetic number, because the mean of its divisors is an integer number (6554086).

Almost surely, 2^634417920 is an apocalyptic number.

634417920 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 634417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179735480).

634417920 is an abundant number, since it is smaller than the sum of its proper divisors (1725053040).

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

634417920 is a wasteful number, since it uses less digits than its factorization.

634417920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 634417920 is about 25187.6541186352. The cubic root of 634417920 is about 859.2610923758.

The spelling of 634417920 in words is "six hundred thirty-four million, four hundred seventeen thousand, nine hundred twenty".