189824320 has 112 divisors (see below), whose sum is σ = 523329408. Its totient is φ = 64235520.

The previous prime is 189824287. The next prime is 189824339. The reversal of 189824320 is 23428981.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 189824320.

It is a congruent number.

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, 185410 + ... + 186430.

It is an arithmetic number, because the mean of its divisors is an integer number (4672584).

Almost surely, 2^189824320 is an apocalyptic number.

189824320 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 189824320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261664704).

189824320 is an abundant number, since it is smaller than the sum of its proper divisors (333505088).

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

189824320 is a wasteful number, since it uses less digits than its factorization.

189824320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 189824320 is about 13777.6746949549. The cubic root of 189824320 is about 574.7124661961.

The spelling of 189824320 in words is "one hundred eighty-nine million, eight hundred twenty-four thousand, three hundred twenty".