18850800 has 120 divisors (see below), whose sum is σ = 63103104. Its totient is φ = 4801280.

The previous prime is 18850771. The next prime is 18850817. The reversal of 18850800 is 805881.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 27259 + ... + 27941.

Almost surely, 2^18850800 is an apocalyptic number.

18850800 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 18850800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31551552).

18850800 is an abundant number, since it is smaller than the sum of its proper divisors (44252304).

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

18850800 is a wasteful number, since it uses less digits than its factorization.

18850800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 30.

The square root of 18850800 is about 4341.7507989289. The cubic root of 18850800 is about 266.1398627542.

The spelling of 18850800 in words is "eighteen million, eight hundred fifty thousand, eight hundred".