18635040 has 72 divisors (see below), whose sum is σ = 63596988. Its totient is φ = 4968960.

The previous prime is 18635027. The next prime is 18635047. The reversal of 18635040 is 4053681.

It can be written as a sum of positive squares in 2 ways, for example, as 18558864 + 76176 = 4308^2 + 276^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 junction number, because it is equal to n+sod(n) for n = 18634995 and 18635013.

It is not an unprimeable number, because it can be changed into a prime (18635047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5031 + ... + 7910.

Almost surely, 2^18635040 is an apocalyptic number.

18635040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18635040 is an abundant number, since it is smaller than the sum of its proper divisors (44961948).

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

18635040 is a wasteful number, since it uses less digits than its factorization.

18635040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12962 (or 12951 counting only the distinct ones).

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

The square root of 18635040 is about 4316.8321718594. The cubic root of 18635040 is about 265.1205811752.

It can be divided in two parts, 1863 and 5040, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 18635040 in words is "eighteen million, six hundred thirty-five thousand, forty".