18800640 has 224 divisors, whose sum is σ = 70774560. Its totient is φ = 4718592.

The previous prime is 18800629. The next prime is 18800641. The reversal of 18800640 is 4600881.

18800640 is a `hidden beast` number, since 18 + 8 + 0 + 0 + 640 = 666.

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

It is a zygodrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18800641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1105912 + ... + 1105928.

Almost surely, 2^18800640 is an apocalyptic number.

18800640 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 18800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35387280).

18800640 is an abundant number, since it is smaller than the sum of its proper divisors (51973920).

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

18800640 is an equidigital number, since it uses as much as digits as its factorization.

18800640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 27 counting only the distinct ones).

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

The square root of 18800640 is about 4335.9704796043. The cubic root of 18800640 is about 265.9035963242.

The spelling of 18800640 in words is "eighteen million, eight hundred thousand, six hundred forty".