18882864 has 240 divisors, whose sum is σ = 71495424. Its totient is φ = 4492800.

The previous prime is 18882841. The next prime is 18882883. The reversal of 18882864 is 46828881.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144079 + ... + 144209.

Almost surely, 2^18882864 is an apocalyptic number.

18882864 is a gapful number since it is divisible by the number (14) 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 18882864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35747712).

18882864 is an abundant number, since it is smaller than the sum of its proper divisors (52612560).

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

18882864 is a wasteful number, since it uses less digits than its factorization.

18882864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 167 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The square root of 18882864 is about 4345.4417496959. The cubic root of 18882864 is about 266.2906728845.

The spelling of 18882864 in words is "eighteen million, eight hundred eighty-two thousand, eight hundred sixty-four".