18468800 has 168 divisors, whose sum is σ = 55558944. Its totient is φ = 5898240.

The previous prime is 18468767. The next prime is 18468811. The reversal of 18468800 is 886481.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 190352 + ... + 190448.

It is an arithmetic number, because the mean of its divisors is an integer number (330708).

Almost surely, 2^18468800 is an apocalyptic number.

18468800 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 18468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27779472).

18468800 is an abundant number, since it is smaller than the sum of its proper divisors (37090144).

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

18468800 is a wasteful number, since it uses less digits than its factorization.

18468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 18468800 is about 4297.5341767111. The cubic root of 18468800 is about 264.3298600992.

The spelling of 18468800 in words is "eighteen million, four hundred sixty-eight thousand, eight hundred".