18985120 has 192 divisors, whose sum is σ = 59222016. Its totient is φ = 5575680.

The previous prime is 18985093. The next prime is 18985157. The reversal of 18985120 is 2158981.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283327 + ... + 283393.

It is an arithmetic number, because the mean of its divisors is an integer number (308448).

Almost surely, 2^18985120 is an apocalyptic number.

18985120 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 18985120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29611008).

18985120 is an abundant number, since it is smaller than the sum of its proper divisors (40236896).

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

18985120 is a wasteful number, since it uses less digits than its factorization.

18985120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 34.

The square root of 18985120 is about 4357.1917561659. The cubic root of 18985120 is about 266.7704873523.

The spelling of 18985120 in words is "eighteen million, nine hundred eighty-five thousand, one hundred twenty".