632005920 has 648 divisors, whose sum is σ = 2767928436. Its totient is φ = 130830336.

The previous prime is 632005853. The next prime is 632005921. The reversal of 632005920 is 29500236.

632005920 is a `hidden beast` number, since 632 + 0 + 0 + 5 + 9 + 20 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 113806224 + 518199696 = 10668^2 + 22764^2 .

It is not an unprimeable number, because it can be changed into a prime (632005921) 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 107 ways as a sum of consecutive naturals, for example, 11924614 + ... + 11924666.

Almost surely, 2^632005920 is an apocalyptic number.

632005920 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 632005920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383964218).

632005920 is an abundant number, since it is smaller than the sum of its proper divisors (2135922516).

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

632005920 is a wasteful number, since it uses less digits than its factorization.

632005920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 632005920 is about 25139.7279221554. The cubic root of 632005920 is about 858.1707649090.

The spelling of 632005920 in words is "six hundred thirty-two million, five thousand, nine hundred twenty".