18986880 has 256 divisors, whose sum is σ = 70502400. Its totient is φ = 4300800.

The previous prime is 18986873. The next prime is 18986887. The reversal of 18986880 is 8868981.

It is an interprime number because it is at equal distance from previous prime (18986873) and next prime (18986887).

It is a super-2 number, since 2×18986880² = 721003224268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18986887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 612465 + ... + 612495.

It is an arithmetic number, because the mean of its divisors is an integer number (275400).

Almost surely, 2^18986880 is an apocalyptic number.

18986880 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 18986880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35251200).

18986880 is an abundant number, since it is smaller than the sum of its proper divisors (51515520).

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

18986880 is a wasteful number, since it uses less digits than its factorization.

18986880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 48.

The square root of 18986880 is about 4357.3937164319. The cubic root of 18986880 is about 266.7787306774.

It can be divided in two parts, 1898 and 6880, that added together give a palindrome (8778).

The spelling of 18986880 in words is "eighteen million, nine hundred eighty-six thousand, eight hundred eighty".