189372960 has 144 divisors (see below), whose sum is σ = 738593856. Its totient is φ = 43282944.

The previous prime is 189372959. The next prime is 189373001. The reversal of 189372960 is 69273981.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 687 + ... + 19473.

It is an arithmetic number, because the mean of its divisors is an integer number (5129124).

Almost surely, 2^189372960 is an apocalyptic number.

189372960 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 189372960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369296928).

189372960 is an abundant number, since it is smaller than the sum of its proper divisors (549220896).

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

189372960 is a wasteful number, since it uses less digits than its factorization.

189372960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18815 (or 18804 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 189372960 is about 13761.2848237365. The cubic root of 189372960 is about 574.2565918890.

The spelling of 189372960 in words is "one hundred eighty-nine million, three hundred seventy-two thousand, nine hundred sixty".