632447640 has 144 divisors (see below), whose sum is σ = 2259457200. Its totient is φ = 153310080.

The previous prime is 632447611. The next prime is 632447657. The reversal of 632447640 is 46744236.

632447640 is a `hidden beast` number, since 6 + 3 + 2 + 4 + 4 + 7 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 632447595 and 632447604.

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, 36301 + ... + 50819.

It is an arithmetic number, because the mean of its divisors is an integer number (15690675).

Almost surely, 2^632447640 is an apocalyptic number.

632447640 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 632447640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129728600).

632447640 is an abundant number, since it is smaller than the sum of its proper divisors (1627009560).

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

632447640 is a wasteful number, since it uses less digits than its factorization.

632447640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14558 (or 14540 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 632447640 is about 25148.5116855849. The cubic root of 632447640 is about 858.3706485385.

The spelling of 632447640 in words is "six hundred thirty-two million, four hundred forty-seven thousand, six hundred forty".