18486000 has 240 divisors, whose sum is σ = 70412160. Its totient is φ = 4492800.

The previous prime is 18485981. The next prime is 18486011. The reversal of 18486000 is 68481.

18486000 is a `hidden beast` number, since 18 + 48 + 600 + 0 = 666.

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

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, 233961 + ... + 234039.

It is an arithmetic number, because the mean of its divisors is an integer number (293384).

Almost surely, 2^18486000 is an apocalyptic number.

18486000 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 18486000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35206080).

18486000 is an abundant number, since it is smaller than the sum of its proper divisors (51926160).

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

18486000 is a wasteful number, since it uses less digits than its factorization.

18486000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 18486000 is about 4299.5348585632. The cubic root of 18486000 is about 264.4118914701.

The spelling of 18486000 in words is "eighteen million, four hundred eighty-six thousand".