18007920 has 200 divisors, whose sum is σ = 71659104. Its totient is φ = 4105728.

The previous prime is 18007907. The next prime is 18007939. The reversal of 18007920 is 2970081.

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

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 39 ways as a sum of consecutive naturals, for example, 45162 + ... + 45558.

Almost surely, 2^18007920 is an apocalyptic number.

18007920 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 18007920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35829552).

18007920 is an abundant number, since it is smaller than the sum of its proper divisors (53651184).

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

18007920 is a wasteful number, since it uses less digits than its factorization.

18007920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 18007920 is about 4243.5739654211. The cubic root of 18007920 is about 262.1125713252.

The spelling of 18007920 in words is "eighteen million, seven thousand, nine hundred twenty".