18987360 has 96 divisors (see below), whose sum is σ = 68366592. Its totient is φ = 4339200.

The previous prime is 18987359. The next prime is 18987361. The reversal of 18987360 is 6378981.

It is an interprime number because it is at equal distance from previous prime (18987359) and next prime (18987361).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18987361) 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, 535 + ... + 6185.

It is an arithmetic number, because the mean of its divisors is an integer number (712152).

Almost surely, 2^18987360 is an apocalyptic number.

18987360 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 18987360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34183296).

18987360 is an abundant number, since it is smaller than the sum of its proper divisors (49379232).

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

18987360 is a wasteful number, since it uses less digits than its factorization.

18987360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5676 (or 5668 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 18987360 is about 4357.4487948799. The cubic root of 18987360 is about 266.7809787686.

The spelling of 18987360 in words is "eighteen million, nine hundred eighty-seven thousand, three hundred sixty".