18882960 has 160 divisors (see below), whose sum is σ = 63745920. Its totient is φ = 4608000.

The previous prime is 18882959. The next prime is 18882961. The reversal of 18882960 is 6928881.

It is an interprime number because it is at equal distance from previous prime (18882959) and next prime (18882961).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18882961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186910 + ... + 187010.

It is an arithmetic number, because the mean of its divisors is an integer number (398412).

Almost surely, 2^18882960 is an apocalyptic number.

18882960 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 18882960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31872960).

18882960 is an abundant number, since it is smaller than the sum of its proper divisors (44862960).

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

18882960 is a wasteful number, since it uses less digits than its factorization.

18882960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 18882960 is about 4345.4527957395. The cubic root of 18882960 is about 266.2911241554.

The spelling of 18882960 in words is "eighteen million, eight hundred eighty-two thousand, nine hundred sixty".