632896992 has 576 divisors, whose sum is σ = 2465648640. Its totient is φ = 149299200.

The previous prime is 632896991. The next prime is 632897039. The reversal of 632896992 is 299698236.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (632896991) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15436492 + ... + 15436532.

It is an arithmetic number, because the mean of its divisors is an integer number (4280640).

Almost surely, 2^632896992 is an apocalyptic number.

632896992 is a gapful number since it is divisible by the number (62) 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 632896992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232824320).

632896992 is an abundant number, since it is smaller than the sum of its proper divisors (1832751648).

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

632896992 is a wasteful number, since it uses less digits than its factorization.

632896992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 116 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 632896992 is about 25157.4440673134. Note that the first 3 decimals coincide. The cubic root of 632896992 is about 858.5738902672.

The spelling of 632896992 in words is "six hundred thirty-two million, eight hundred ninety-six thousand, nine hundred ninety-two".