18468100 has 54 divisors (see below), whose sum is σ = 46631130. Its totient is φ = 6330240.

The previous prime is 18468097. The next prime is 18468101. The reversal of 18468100 is 186481.

It can be written as a sum of positive squares in 3 ways, for example, as 3211264 + 15256836 = 1792^2 + 3906^2 .

It is a super-2 number, since 2×18468100² = 682141435220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (18468101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3016 + ... + 6784.

Almost surely, 2^18468100 is an apocalyptic number.

18468100 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 18468100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23315565).

18468100 is an abundant number, since it is smaller than the sum of its proper divisors (28163030).

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

18468100 is a wasteful number, since it uses less digits than its factorization.

18468100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3797 (or 3783 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 18468100 is about 4297.4527338878. The cubic root of 18468100 is about 264.3265205348.

The spelling of 18468100 in words is "eighteen million, four hundred sixty-eight thousand, one hundred".