18242680 has 64 divisors (see below), whose sum is σ = 43545600. Its totient is φ = 6864000.

The previous prime is 18242671. The next prime is 18242681. The reversal of 18242680 is 8624281.

18242680 = 441² + 442² + ... + 519².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18242681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72555 + ... + 72805.

It is an arithmetic number, because the mean of its divisors is an integer number (680400).

Almost surely, 2^18242680 is an apocalyptic number.

18242680 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 18242680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21772800).

18242680 is an abundant number, since it is smaller than the sum of its proper divisors (25302920).

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

18242680 is a wasteful number, since it uses less digits than its factorization.

18242680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 18242680 is about 4271.1450455352. The cubic root of 18242680 is about 263.2466662757.

The spelling of 18242680 in words is "eighteen million, two hundred forty-two thousand, six hundred eighty".