18468000 has 288 divisors, whose sum is σ = 71547840. Its totient is φ = 4665600.

The previous prime is 18467989. The next prime is 18468017. The reversal of 18468000 is 86481.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 971991 + ... + 972009.

It is an arithmetic number, because the mean of its divisors is an integer number (248430).

Almost surely, 2^18468000 is an apocalyptic number.

18468000 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 18468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35773920).

18468000 is an abundant number, since it is smaller than the sum of its proper divisors (53079840).

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

18468000 is an equidigital number, since it uses as much as digits as its factorization.

18468000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 29 counting only the distinct ones).

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

The square root of 18468000 is about 4297.4410990728. The cubic root of 18468000 is about 264.3260434473.

The spelling of 18468000 in words is "eighteen million, four hundred sixty-eight thousand".