18354240 has 84 divisors (see below), whose sum is σ = 63140844. Its totient is φ = 4893696.

The previous prime is 18354227. The next prime is 18354269. The reversal of 18354240 is 4245381.

18354240 is a `hidden beast` number, since 1 + 83 + 542 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11128896 + 7225344 = 3336^2 + 2688^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 307 + ... + 6066.

Almost surely, 2^18354240 is an apocalyptic number.

18354240 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 18354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31570422).

18354240 is an abundant number, since it is smaller than the sum of its proper divisors (44786604).

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

18354240 is a wasteful number, since it uses less digits than its factorization.

18354240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6396 (or 6383 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 18354240 is about 4284.1848699607. The cubic root of 18354240 is about 263.7821894931.

The spelling of 18354240 in words is "eighteen million, three hundred fifty-four thousand, two hundred forty".