18346880 has 64 divisors (see below), whose sum is σ = 44431200. Its totient is φ = 7243776.

The previous prime is 18346877. The next prime is 18346883. The reversal of 18346880 is 8864381.

It is an interprime number because it is at equal distance from previous prime (18346877) and next prime (18346883).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18346883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69629 + ... + 69891.

Almost surely, 2^18346880 is an apocalyptic number.

18346880 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 18346880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22215600).

18346880 is an abundant number, since it is smaller than the sum of its proper divisors (26084320).

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

18346880 is a wasteful number, since it uses less digits than its factorization.

18346880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 18346880 is about 4283.3258106289. The cubic root of 18346880 is about 263.7469261338.

The spelling of 18346880 in words is "eighteen million, three hundred forty-six thousand, eight hundred eighty".