18868416 has 112 divisors (see below), whose sum is σ = 58033920. Its totient is φ = 5299200.

The previous prime is 18868411. The next prime is 18868433. The reversal of 18868416 is 61486881.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is not an unprimeable number, because it can be changed into a prime (18868411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135675 + ... + 135813.

It is an arithmetic number, because the mean of its divisors is an integer number (518160).

Almost surely, 2^18868416 is an apocalyptic number.

18868416 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 18868416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29016960).

18868416 is an abundant number, since it is smaller than the sum of its proper divisors (39165504).

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

18868416 is a wasteful number, since it uses less digits than its factorization.

18868416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 252 counting only the distinct ones).

The product of its digits is 73728, while the sum is 42.

The square root of 18868416 is about 4343.7789999032. The cubic root of 18868416 is about 266.2227391693. Note that the first 3 decimals are identical.

The spelling of 18868416 in words is "eighteen million, eight hundred sixty-eight thousand, four hundred sixteen".