18042000 has 160 divisors (see below), whose sum is σ = 60662784. Its totient is φ = 4608000.

The previous prime is 18041987. The next prime is 18042029. The reversal of 18042000 is 24081.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185952 + ... + 186048.

Almost surely, 2^18042000 is an apocalyptic number.

18042000 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 18042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30331392).

18042000 is an abundant number, since it is smaller than the sum of its proper divisors (42620784).

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

18042000 is a wasteful number, since it uses less digits than its factorization.

18042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 18042000 is about 4247.5875505986. The cubic root of 18042000 is about 262.2778165292.

Adding to 18042000 its reverse (24081), we get a palindrome (18066081).

The spelling of 18042000 in words is "eighteen million, forty-two thousand".