18127368 has 128 divisors (see below), whose sum is σ = 60672000. Its totient is φ = 4898880.

The previous prime is 18127367. The next prime is 18127391. The reversal of 18127368 is 86372181.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (16128) is a multiple of the sum of its prime factors (672).

It is not an unprimeable number, because it can be changed into a prime (18127367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28413 + ... + 29043.

It is an arithmetic number, because the mean of its divisors is an integer number (474000).

Almost surely, 2^18127368 is an apocalyptic number.

18127368 is a gapful number since it is divisible by the number (18) 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 18127368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30336000).

18127368 is an abundant number, since it is smaller than the sum of its proper divisors (42544632).

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

18127368 is a wasteful number, since it uses less digits than its factorization.

18127368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 662 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 18127368 is about 4257.6246898946. The cubic root of 18127368 is about 262.6908326631.

It can be divided in two parts, 1812 and 7368, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 18127368 in words is "eighteen million, one hundred twenty-seven thousand, three hundred sixty-eight".