638790180 has 96 divisors (see below), whose sum is σ = 2052255744. Its totient is φ = 145428864.

The previous prime is 638790167. The next prime is 638790211. The reversal of 638790180 is 81097836.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 107569 + ... + 113351.

It is an arithmetic number, because the mean of its divisors is an integer number (21377664).

Almost surely, 2^638790180 is an apocalyptic number.

638790180 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 638790180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026127872).

638790180 is an abundant number, since it is smaller than the sum of its proper divisors (1413465564).

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

638790180 is a wasteful number, since it uses less digits than its factorization.

638790180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6065 (or 6063 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 638790180 is about 25274.2988033298. The cubic root of 638790180 is about 861.2305172037.

The spelling of 638790180 in words is "six hundred thirty-eight million, seven hundred ninety thousand, one hundred eighty".