18648320 has 72 divisors (see below), whose sum is σ = 47351304. Its totient is φ = 7012352.

The previous prime is 18648319. The next prime is 18648353. The reversal of 18648320 is 2384681.

It can be written as a sum of positive squares in 4 ways, for example, as 8202496 + 10445824 = 2864^2 + 3232^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21332 + ... + 22188.

It is an arithmetic number, because the mean of its divisors is an integer number (657657).

Almost surely, 2^18648320 is an apocalyptic number.

18648320 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 18648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23675652).

18648320 is an abundant number, since it is smaller than the sum of its proper divisors (28702984).

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

18648320 is an equidigital number, since it uses as much as digits as its factorization.

18648320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 18648320 is about 4318.3700628825. The cubic root of 18648320 is about 265.1835443761.

The spelling of 18648320 in words is "eighteen million, six hundred forty-eight thousand, three hundred twenty".