18873120 has 192 divisors, whose sum is σ = 70108416. Its totient is φ = 4177920.

The previous prime is 18873119. The next prime is 18873131. The reversal of 18873120 is 2137881.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 137692 + ... + 137828.

It is an arithmetic number, because the mean of its divisors is an integer number (365148).

Almost surely, 2^18873120 is an apocalyptic number.

18873120 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 18873120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35054208).

18873120 is an abundant number, since it is smaller than the sum of its proper divisors (51235296).

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

18873120 is a wasteful number, since it uses less digits than its factorization.

18873120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 18873120 is about 4344.3204301709. The cubic root of 18873120 is about 266.2448609293.

The spelling of 18873120 in words is "eighteen million, eight hundred seventy-three thousand, one hundred twenty".