18053280 has 240 divisors, whose sum is σ = 73180800. Its totient is φ = 4105728.

The previous prime is 18053263. The next prime is 18053281. The reversal of 18053280 is 8235081.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18053281) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 90621 + ... + 90819.

It is an arithmetic number, because the mean of its divisors is an integer number (304920).

Almost surely, 2^18053280 is an apocalyptic number.

18053280 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 18053280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36590400).

18053280 is an abundant number, since it is smaller than the sum of its proper divisors (55127520).

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

18053280 is a wasteful number, since it uses less digits than its factorization.

18053280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 18053280 is about 4248.9151556603. The cubic root of 18053280 is about 262.3324645251.

The spelling of 18053280 in words is "eighteen million, fifty-three thousand, two hundred eighty".