18253120 has 28 divisors (see below), whose sum is σ = 43466004. Its totient is φ = 7301120.

The previous prime is 18253117. The next prime is 18253127. The reversal of 18253120 is 2135281.

It can be written as a sum of positive squares in 2 ways, for example, as 6801664 + 11451456 = 2608^2 + 3384^2 .

It is a junction number, because it is equal to n+sod(n) for n = 18253091 and 18253100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18253127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28201 + ... + 28840.

Almost surely, 2^18253120 is an apocalyptic number.

18253120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18253120 is an abundant number, since it is smaller than the sum of its proper divisors (25212884).

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

18253120 is an equidigital number, since it uses as much as digits as its factorization.

18253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57058 (or 57048 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 18253120 is about 4272.3670254322. The cubic root of 18253120 is about 263.2968740137.

The spelling of 18253120 in words is "eighteen million, two hundred fifty-three thousand, one hundred twenty".