18408672 has 72 divisors (see below), whose sum is σ = 53660880. Its totient is φ = 5982720.

The previous prime is 18408661. The next prime is 18408679. The reversal of 18408672 is 27680481.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18408679) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11029 + ... + 12587.

It is an arithmetic number, because the mean of its divisors is an integer number (745290).

Almost surely, 2^18408672 is an apocalyptic number.

18408672 is a gapful number since it is divisible by the number (12) 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 18408672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26830440).

18408672 is an abundant number, since it is smaller than the sum of its proper divisors (35252208).

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

18408672 is a wasteful number, since it uses less digits than its factorization.

18408672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 18408672 is about 4290.5328340429. The cubic root of 18408672 is about 264.0426928201.

The spelling of 18408672 in words is "eighteen million, four hundred eight thousand, six hundred seventy-two".