634435920 has 180 divisors, whose sum is σ = 2264094300. Its totient is φ = 159178752.

The previous prime is 634435861. The next prime is 634435961. The reversal of 634435920 is 29534436.

634435920 is a `hidden beast` number, since 63 + 4 + 4 + 3 + 592 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 576 + 634435344 = 24^2 + 25188^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 206556 + ... + 209604.

Almost surely, 2^634435920 is an apocalyptic number.

634435920 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 634435920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132047150).

634435920 is an abundant number, since it is smaller than the sum of its proper divisors (1629658380).

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

634435920 is a wasteful number, since it uses less digits than its factorization.

634435920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3102 (or 3076 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 634435920 is about 25188.0114340136. The cubic root of 634435920 is about 859.2692187506.

The spelling of 634435920 in words is "six hundred thirty-four million, four hundred thirty-five thousand, nine hundred twenty".