18509040 has 320 divisors, whose sum is σ = 74995200. Its totient is φ = 4147200.

The previous prime is 18509033. The next prime is 18509053. The reversal of 18509040 is 4090581.

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 = 18508995 and 18509013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 451420 + ... + 451460.

It is an arithmetic number, because the mean of its divisors is an integer number (234360).

Almost surely, 2^18509040 is an apocalyptic number.

18509040 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 18509040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37497600).

18509040 is an abundant number, since it is smaller than the sum of its proper divisors (56486160).

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

18509040 is a wasteful number, since it uses less digits than its factorization.

18509040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 18509040 is about 4302.2133838293. The cubic root of 18509040 is about 264.5216956605.

The spelling of 18509040 in words is "eighteen million, five hundred nine thousand, forty".