18738480 has 80 divisors (see below), whose sum is σ = 58567680. Its totient is φ = 4955904.

The previous prime is 18738479. The next prime is 18738523. The reversal of 18738480 is 8483781.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×18738480² = 702261265420800, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 38881 + ... + 39359.

It is an arithmetic number, because the mean of its divisors is an integer number (732096).

Almost surely, 2^18738480 is an apocalyptic number.

18738480 is a gapful number since it is divisible by the number (10) 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 18738480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29283840).

18738480 is an abundant number, since it is smaller than the sum of its proper divisors (39829200).

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

18738480 is a wasteful number, since it uses less digits than its factorization.

18738480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 18738480 is about 4328.7965995182. The cubic root of 18738480 is about 265.6102230303.

The spelling of 18738480 in words is "eighteen million, seven hundred thirty-eight thousand, four hundred eighty".