18470800 has 60 divisors (see below), whose sum is σ = 45163156. Its totient is φ = 7257600.

The previous prime is 18470797. The next prime is 18470801. The reversal of 18470800 is 807481.

It can be written as a sum of positive squares in 6 ways, for example, as 2598544 + 15872256 = 1612^2 + 3984^2 .

It is not an unprimeable number, because it can be changed into a prime (18470801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24022 + ... + 24778.

Almost surely, 2^18470800 is an apocalyptic number.

18470800 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 18470800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22581578).

18470800 is an abundant number, since it is smaller than the sum of its proper divisors (26692356).

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

18470800 is a wasteful number, since it uses less digits than its factorization.

18470800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 18470800 is about 4297.7668619877. The cubic root of 18470800 is about 264.3394012468.

The spelling of 18470800 in words is "eighteen million, four hundred seventy thousand, eight hundred".