18442080 has 120 divisors (see below), whose sum is σ = 65130912. Its totient is φ = 4914432.

The previous prime is 18442013. The next prime is 18442097. The reversal of 18442080 is 8024481.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×18442080² = 680220629452800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 12249 + ... + 13671.

Almost surely, 2^18442080 is an apocalyptic number.

18442080 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 18442080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32565456).

18442080 is an abundant number, since it is smaller than the sum of its proper divisors (46688832).

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

18442080 is a wasteful number, since it uses less digits than its factorization.

18442080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 18442080 is about 4294.4242920326. The cubic root of 18442080 is about 264.2023242420.

The spelling of 18442080 in words is "eighteen million, four hundred forty-two thousand, eighty".