189321408 has 84 divisors (see below), whose sum is σ = 558256440. Its totient is φ = 62916480.

The previous prime is 189321343. The next prime is 189321427. The reversal of 189321408 is 804123981.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 571803 + ... + 572133.

It is an arithmetic number, because the mean of its divisors is an integer number (6645910).

Almost surely, 2^189321408 is an apocalyptic number.

189321408 is a gapful number since it is divisible by the number (18) 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 189321408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279128220).

189321408 is an abundant number, since it is smaller than the sum of its proper divisors (368935032).

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

189321408 is an frugal number, since it uses more digits than its factorization.

189321408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 189321408 is about 13759.4116153272. The cubic root of 189321408 is about 574.2044782142.

The spelling of 189321408 in words is "one hundred eighty-nine million, three hundred twenty-one thousand, four hundred eight".