18408960 has 240 divisors, whose sum is σ = 68942016. Its totient is φ = 4521984.

The previous prime is 18408953. The next prime is 18408979. The reversal of 18408960 is 6980481.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 391657 + ... + 391703.

Almost surely, 2^18408960 is an apocalyptic number.

18408960 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 18408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34471008).

18408960 is an abundant number, since it is smaller than the sum of its proper divisors (50533056).

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

18408960 is a wasteful number, since it uses less digits than its factorization.

18408960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 18408960 is about 4290.5663961766. The cubic root of 18408960 is about 264.0440697780.

The spelling of 18408960 in words is "eighteen million, four hundred eight thousand, nine hundred sixty".