18038880 has 72 divisors (see below), whose sum is σ = 61562592. Its totient is φ = 4809984.

The previous prime is 18038861. The next prime is 18038897. The reversal of 18038880 is 8883081.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4824 + ... + 7703.

It is an arithmetic number, because the mean of its divisors is an integer number (855036).

Almost surely, 2^18038880 is an apocalyptic number.

18038880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18038880 is an abundant number, since it is smaller than the sum of its proper divisors (43523712).

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

18038880 is a wasteful number, since it uses less digits than its factorization.

18038880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12548 (or 12537 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 18038880 is about 4247.2202674220. The cubic root of 18038880 is about 262.2626971048.

It can be divided in two parts, 180 and 38880, that added together give a triangular number (39060 = T₂₇₉).

The spelling of 18038880 in words is "eighteen million, thirty-eight thousand, eight hundred eighty".