632260512 has 192 divisors, whose sum is σ = 2003339520. Its totient is φ = 192844800.

The previous prime is 632260487. The next prime is 632260513. The reversal of 632260512 is 215062236.

632260512 is a `hidden beast` number, since 632 + 26 + 0 + 5 + 1 + 2 = 666.

632260512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (632260513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2032837 + ... + 2033147.

It is an arithmetic number, because the mean of its divisors is an integer number (10434060).

Almost surely, 2^632260512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 632260512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001669760).

632260512 is an abundant number, since it is smaller than the sum of its proper divisors (1371079008).

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

632260512 is a wasteful number, since it uses less digits than its factorization.

632260512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 632260512 is about 25144.7909516067. The cubic root of 632260512 is about 858.2859822267.

The spelling of 632260512 in words is "six hundred thirty-two million, two hundred sixty thousand, five hundred twelve".