638530080 has 96 divisors (see below), whose sum is σ = 2031438528. Its totient is φ = 168576000.

The previous prime is 638530027. The next prime is 638530103. The reversal of 638530080 is 80035836.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 41895 + ... + 55065.

It is an arithmetic number, because the mean of its divisors is an integer number (21160818).

Almost surely, 2^638530080 is an apocalyptic number.

638530080 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 638530080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015719264).

638530080 is an abundant number, since it is smaller than the sum of its proper divisors (1392908448).

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

638530080 is a wasteful number, since it uses less digits than its factorization.

638530080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13290 (or 13282 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 638530080 is about 25269.1527360931. The cubic root of 638530080 is about 861.1136105496.

The spelling of 638530080 in words is "six hundred thirty-eight million, five hundred thirty thousand, eighty".