632816280 has 128 divisors (see below), whose sum is σ = 2220480000. Its totient is φ = 159864192.

The previous prime is 632816267. The next prime is 632816287. The reversal of 632816280 is 82618236.

632816280 is a `hidden beast` number, since 6 + 3 + 28 + 1 + 628 + 0 = 666.

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 (632816287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5101 + ... + 35939.

It is an arithmetic number, because the mean of its divisors is an integer number (17347500).

Almost surely, 2^632816280 is an apocalyptic number.

632816280 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 632816280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110240000).

632816280 is an abundant number, since it is smaller than the sum of its proper divisors (1587663720).

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

632816280 is a wasteful number, since it uses less digits than its factorization.

632816280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30878 (or 30868 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 632816280 is about 25155.8398786445. The cubic root of 632816280 is about 858.5373913515.

The spelling of 632816280 in words is "six hundred thirty-two million, eight hundred sixteen thousand, two hundred eighty".