18981120 has 72 divisors (see below), whose sum is σ = 60633216. Its totient is φ = 5060608.

The previous prime is 18981113. The next prime is 18981121. The reversal of 18981120 is 2118981.

It is a hoax number, since the sum of its digits (30) 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 (30).

It is not an unprimeable number, because it can be changed into a prime (18981121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1369 + ... + 6311.

It is an arithmetic number, because the mean of its divisors is an integer number (842128).

Almost surely, 2^18981120 is an apocalyptic number.

18981120 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 18981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30316608).

18981120 is an abundant number, since it is smaller than the sum of its proper divisors (41652096).

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

18981120 is an equidigital number, since it uses as much as digits as its factorization.

18981120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4967 (or 4953 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 30.

The square root of 18981120 is about 4356.7327207438. The cubic root of 18981120 is about 266.7517506276.

The spelling of 18981120 in words is "eighteen million, nine hundred eighty-one thousand, one hundred twenty".