188880 has 40 divisors (see below), whose sum is σ = 586272. Its totient is φ = 50304.

The previous prime is 188869. The next prime is 188891. The reversal of 188880 is 88881.

It is an interprime number because it is at equal distance from previous prime (188869) and next prime (188891).

It is a tau number, because it is divible by the number of its divisors (40).

It is a plaindrome in base 11.

It is a zygodrome in base 11.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 188880.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154 + ... + 633.

2¹⁸⁸⁸⁸⁰ is an apocalyptic number.

188880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

188880 is an abundant number, since it is smaller than the sum of its proper divisors (397392).

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

188880 is a wasteful number, since it uses less digits than its factorization.

188880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 33.

The square root of 188880 is about 434.6032673600. The cubic root of 188880 is about 57.3757873170.

Subtracting from 188880 its reverse (88881), we obtain a palindrome (99999).

The spelling of 188880 in words is "one hundred eighty-eight thousand, eight hundred eighty".