18927216 has 160 divisors (see below), whose sum is σ = 67852800. Its totient is φ = 4907520.

The previous prime is 18927203. The next prime is 18927241. The reversal of 18927216 is 61272981.

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.

It is an alternating number because its digits alternate between odd and even.

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, 32980 + ... + 33548.

It is an arithmetic number, because the mean of its divisors is an integer number (424080).

Almost surely, 2^18927216 is an apocalyptic number.

18927216 is a gapful number since it is divisible by the number (16) 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 18927216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33926400).

18927216 is an abundant number, since it is smaller than the sum of its proper divisors (48925584).

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

18927216 is a wasteful number, since it uses less digits than its factorization.

18927216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 592 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 18927216 is about 4350.5420351952. The cubic root of 18927216 is about 266.4989973762.

It can be divided in two parts, 189 and 27216, that multiplied together give a square (5143824 = 2268²).

The spelling of 18927216 in words is "eighteen million, nine hundred twenty-seven thousand, two hundred sixteen".