632638080 has 256 divisors, whose sum is σ = 2314828800. Its totient is φ = 163123200.

The previous prime is 632638073. The next prime is 632638081. The reversal of 632638080 is 80836236.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (632638081) 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, 535090 + ... + 536270.

It is an arithmetic number, because the mean of its divisors is an integer number (9042300).

Almost surely, 2^632638080 is an apocalyptic number.

632638080 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 632638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157414400).

632638080 is an abundant number, since it is smaller than the sum of its proper divisors (1682190720).

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

632638080 is a wasteful number, since it uses less digits than its factorization.

632638080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 632638080 is about 25152.2977081618. The cubic root of 632638080 is about 858.4567962241.

The spelling of 632638080 in words is "six hundred thirty-two million, six hundred thirty-eight thousand, eighty".