18414720 has 192 divisors, whose sum is σ = 66830400. Its totient is φ = 4663296.

The previous prime is 18414719. The next prime is 18414731. The reversal of 18414720 is 2741481.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132411 + ... + 132549.

It is an arithmetic number, because the mean of its divisors is an integer number (348075).

Almost surely, 2^18414720 is an apocalyptic number.

18414720 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 18414720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33415200).

18414720 is an abundant number, since it is smaller than the sum of its proper divisors (48415680).

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

18414720 is a wasteful number, since it uses less digits than its factorization.

18414720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 18414720 is about 4291.2375837280. The cubic root of 18414720 is about 264.0716059206.

It can be divided in two parts, 1841 and 4720, that added together give a 8-th power (6561 = 3⁸).

The spelling of 18414720 in words is "eighteen million, four hundred fourteen thousand, seven hundred twenty".