18138960 has 240 divisors, whose sum is σ = 71959680. Its totient is φ = 4008960.

The previous prime is 18138959. The next prime is 18138971. The reversal of 18138960 is 6983181.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 297330 + ... + 297390.

It is an arithmetic number, because the mean of its divisors is an integer number (299832).

Almost surely, 2^18138960 is an apocalyptic number.

18138960 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 18138960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35979840).

18138960 is an abundant number, since it is smaller than the sum of its proper divisors (53820720).

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

18138960 is a wasteful number, since it uses less digits than its factorization.

18138960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 18138960 is about 4258.9857947638. The cubic root of 18138960 is about 262.7468154782.

The spelling of 18138960 in words is "eighteen million, one hundred thirty-eight thousand, nine hundred sixty".