18364680 has 96 divisors (see below), whose sum is σ = 60278400. Its totient is φ = 4848768.

The previous prime is 18364667. The next prime is 18364681. The reversal of 18364680 is 8646381.

It is a happy number.

18364680 is a `hidden beast` number, since 1 + 8 + 3 + 646 + 8 + 0 = 666.

It is a super-2 number, since 2×18364680² = 674522943004800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (18364681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49857 + ... + 50223.

It is an arithmetic number, because the mean of its divisors is an integer number (627900).

Almost surely, 2^18364680 is an apocalyptic number.

18364680 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 18364680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30139200).

18364680 is an abundant number, since it is smaller than the sum of its proper divisors (41913720).

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

18364680 is a wasteful number, since it uses less digits than its factorization.

18364680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 18364680 is about 4285.4031315618. The cubic root of 18364680 is about 263.8321936353.

It can be divided in two parts, 18364 and 680, that added together give a square (19044 = 138²).

The spelling of 18364680 in words is "eighteen million, three hundred sixty-four thousand, six hundred eighty".