18382560 has 96 divisors (see below), whose sum is σ = 66189312. Its totient is φ = 4200960.

The previous prime is 18382547. The next prime is 18382601. The reversal of 18382560 is 6528381.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 625 + ... + 6095.

It is an arithmetic number, because the mean of its divisors is an integer number (689472).

Almost surely, 2^18382560 is an apocalyptic number.

18382560 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 18382560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33094656).

18382560 is an abundant number, since it is smaller than the sum of its proper divisors (47806752).

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

18382560 is a wasteful number, since it uses less digits than its factorization.

18382560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5496 (or 5488 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 18382560 is about 4287.4887754955. The cubic root of 18382560 is about 263.9177889104.

The spelling of 18382560 in words is "eighteen million, three hundred eighty-two thousand, five hundred sixty".