188920320 has 160 divisors (see below), whose sum is σ = 639923328. Its totient is φ = 47382528.

The previous prime is 188920273. The next prime is 188920351. The reversal of 188920320 is 23029881.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129837 + ... + 131283.

Almost surely, 2^188920320 is an apocalyptic number.

188920320 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 188920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319961664).

188920320 is an abundant number, since it is smaller than the sum of its proper divisors (451003008).

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

188920320 is a wasteful number, since it uses less digits than its factorization.

188920320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 188920320 is about 13744.8288457878. The cubic root of 188920320 is about 573.7986967463.

The spelling of 188920320 in words is "one hundred eighty-eight million, nine hundred twenty thousand, three hundred twenty".