18905040 has 360 divisors, whose sum is σ = 82328064. Its totient is φ = 3801600.

The previous prime is 18905027. The next prime is 18905053. The reversal of 18905040 is 4050981.

It is an interprime number because it is at equal distance from previous prime (18905027) and next prime (18905053).

It is a tau number, because it is divible by the number of its divisors (360).

It is a junction number, because it is equal to n+sod(n) for n = 18904995 and 18905013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 609825 + ... + 609855.

Almost surely, 2^18905040 is an apocalyptic number.

18905040 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 18905040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41164032).

18905040 is an abundant number, since it is smaller than the sum of its proper divisors (63423024).

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

18905040 is a wasteful number, since it uses less digits than its factorization.

18905040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 59 counting only the distinct ones).

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

The square root of 18905040 is about 4347.9926402882. The cubic root of 18905040 is about 266.3948758585.

The spelling of 18905040 in words is "eighteen million, nine hundred five thousand, forty".