18640800 has 144 divisors (see below), whose sum is σ = 67495680. Its totient is φ = 4965120.

The previous prime is 18640777. The next prime is 18640813. The reversal of 18640800 is 804681.

18640800 is a `hidden beast` number, since 18 + 640 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 Harshad number since it is a multiple of its sum of digits (27).

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, 21169 + ... + 22031.

It is an arithmetic number, because the mean of its divisors is an integer number (468720).

Almost surely, 2^18640800 is an apocalyptic number.

18640800 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 18640800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33747840).

18640800 is an abundant number, since it is smaller than the sum of its proper divisors (48854880).

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

18640800 is a wasteful number, since it uses less digits than its factorization.

18640800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 873 counting only the distinct ones).

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

The square root of 18640800 is about 4317.4992762014. The cubic root of 18640800 is about 265.1478941876.

The spelling of 18640800 in words is "eighteen million, six hundred forty thousand, eight hundred".