18887120 has 80 divisors (see below), whose sum is σ = 51960960. Its totient is φ = 6246912.

The previous prime is 18887047. The next prime is 18887123. The reversal of 18887120 is 2178881.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18887123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15659 + ... + 16821.

It is an arithmetic number, because the mean of its divisors is an integer number (649512).

Almost surely, 2^18887120 is an apocalyptic number.

18887120 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 18887120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25980480).

18887120 is an abundant number, since it is smaller than the sum of its proper divisors (33073840).

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

18887120 is a wasteful number, since it uses less digits than its factorization.

18887120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 35.

The square root of 18887120 is about 4345.9314306602. The cubic root of 18887120 is about 266.3106777589.

The spelling of 18887120 in words is "eighteen million, eight hundred eighty-seven thousand, one hundred twenty".