18648000 has 336 divisors, whose sum is σ = 78297024. Its totient is φ = 4147200.

The previous prime is 18647983. The next prime is 18648013. The reversal of 18648000 is 84681.

18648000 is a `hidden beast` number, since 18 + 648 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 503982 + ... + 504018.

Almost surely, 2^18648000 is an apocalyptic number.

18648000 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 18648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39148512).

18648000 is an abundant number, since it is smaller than the sum of its proper divisors (59649024).

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

18648000 is a wasteful number, since it uses less digits than its factorization.

18648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 54 counting only the distinct ones).

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

The square root of 18648000 is about 4318.3330117072. Note that the first 3 decimals coincide. The cubic root of 18648000 is about 265.1820275420.

The spelling of 18648000 in words is "eighteen million, six hundred forty-eight thousand".