18146880 has 84 divisors (see below), whose sum is σ = 62427612. Its totient is φ = 4838400.

The previous prime is 18146831. The next prime is 18146897. The reversal of 18146880 is 8864181.

It can be written as a sum of positive squares in 2 ways, for example, as 8856576 + 9290304 = 2976^2 + 3048^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 271 + ... + 6030.

Almost surely, 2^18146880 is an apocalyptic number.

18146880 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 18146880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31213806).

18146880 is an abundant number, since it is smaller than the sum of its proper divisors (44280732).

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

18146880 is a wasteful number, since it uses less digits than its factorization.

18146880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6324 (or 6311 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 18146880 is about 4259.9154921195. The cubic root of 18146880 is about 262.7850508931.

The spelling of 18146880 in words is "eighteen million, one hundred forty-six thousand, eight hundred eighty".