18904608 has 72 divisors (see below), whose sum is σ = 55105596. Its totient is φ = 6144000.

The previous prime is 18904583. The next prime is 18904679. The reversal of 18904608 is 80640981.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 18766224 + 138384 = 4332^2 + 372^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11008 + ... + 12608.

Almost surely, 2^18904608 is an apocalyptic number.

18904608 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 18904608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27552798).

18904608 is an abundant number, since it is smaller than the sum of its proper divisors (36200988).

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

18904608 is a wasteful number, since it uses less digits than its factorization.

18904608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 18904608 is about 4347.9429619074. The cubic root of 18904608 is about 266.3928467089.

The spelling of 18904608 in words is "eighteen million, nine hundred four thousand, six hundred eight".