632307312 has 240 divisors, whose sum is σ = 2211122368. Its totient is φ = 164229120.

The previous prime is 632307301. The next prime is 632307317. The reversal of 632307312 is 213703236.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (632307317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 956262 + ... + 956922.

Almost surely, 2^632307312 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 632307312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105561184).

632307312 is an abundant number, since it is smaller than the sum of its proper divisors (1578815056).

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

632307312 is a wasteful number, since it uses less digits than its factorization.

632307312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 632307312 is about 25145.7215446286. The cubic root of 632307312 is about 858.3071585152.

The spelling of 632307312 in words is "six hundred thirty-two million, three hundred seven thousand, three hundred twelve".