632530080 has 384 divisors, whose sum is σ = 2726438400. Its totient is φ = 133373952.

The previous prime is 632529979. The next prime is 632530127. The reversal of 632530080 is 80035236.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 392316 + ... + 393924.

It is an arithmetic number, because the mean of its divisors is an integer number (7100100).

Almost surely, 2^632530080 is an apocalyptic number.

632530080 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 632530080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363219200).

632530080 is an abundant number, since it is smaller than the sum of its proper divisors (2093908320).

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

632530080 is a wasteful number, since it uses less digits than its factorization.

632530080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1639 counting only the distinct ones).

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

The square root of 632530080 is about 25150.1506953736. The cubic root of 632530080 is about 858.4079433264.

The spelling of 632530080 in words is "six hundred thirty-two million, five hundred thirty thousand, eighty".