632707920 has 240 divisors, whose sum is σ = 2388597120. Its totient is φ = 148921344.

The previous prime is 632707837. The next prime is 632707939. The reversal of 632707920 is 29707236.

632707920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213811 + ... + 216749.

It is an arithmetic number, because the mean of its divisors is an integer number (9952488).

Almost surely, 2^632707920 is an apocalyptic number.

632707920 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 632707920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194298560).

632707920 is an abundant number, since it is smaller than the sum of its proper divisors (1755889200).

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

632707920 is a wasteful number, since it uses less digits than its factorization.

632707920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2994 (or 2985 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 632707920 is about 25153.6860121931. The cubic root of 632707920 is about 858.4883848045.

The spelling of 632707920 in words is "six hundred thirty-two million, seven hundred seven thousand, nine hundred twenty".