18536040 has 96 divisors (see below), whose sum is σ = 62506080. Its totient is φ = 4940352.

The previous prime is 18535991. The next prime is 18536057. The reversal of 18536040 is 4063581.

18536040 is a `hidden beast` number, since 1 + 8 + 53 + 604 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 18535995 and 18536013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8767 + ... + 10673.

It is an arithmetic number, because the mean of its divisors is an integer number (651105).

Almost surely, 2^18536040 is an apocalyptic number.

18536040 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 18536040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31253040).

18536040 is an abundant number, since it is smaller than the sum of its proper divisors (43970040).

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

18536040 is a wasteful number, since it uses less digits than its factorization.

18536040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1933 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 18536040 is about 4305.3501599754. The cubic root of 18536040 is about 264.6502565468.

The spelling of 18536040 in words is "eighteen million, five hundred thirty-six thousand, forty".