18642000 has 160 divisors (see below), whose sum is σ = 64995840. Its totient is φ = 4569600.

The previous prime is 18641999. The next prime is 18642017. The reversal of 18642000 is 24681.

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, 77881 + ... + 78119.

It is an arithmetic number, because the mean of its divisors is an integer number (406224).

Almost surely, 2^18642000 is an apocalyptic number.

18642000 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 18642000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32497920).

18642000 is an abundant number, since it is smaller than the sum of its proper divisors (46353840).

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

18642000 is a wasteful number, since it uses less digits than its factorization.

18642000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 18642000 is about 4317.6382432992. The cubic root of 18642000 is about 265.1535836903.

Adding to 18642000 its reverse (24681), we get a palindrome (18666681).

The spelling of 18642000 in words is "eighteen million, six hundred forty-two thousand".