18182880 has 240 divisors, whose sum is σ = 68058144. Its totient is φ = 4561920.

The previous prime is 18182863. The next prime is 18182891. The reversal of 18182880 is 8828181.

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 298050 + ... + 298110.

Almost surely, 2^18182880 is an apocalyptic number.

18182880 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 18182880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34029072).

18182880 is an abundant number, since it is smaller than the sum of its proper divisors (49875264).

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

18182880 is a wasteful number, since it uses less digits than its factorization.

18182880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The square root of 18182880 is about 4264.1388345128. The cubic root of 18182880 is about 262.9587081632.

The spelling of 18182880 in words is "eighteen million, one hundred eighty-two thousand, eight hundred eighty".