189346976 has 96 divisors (see below), whose sum is σ = 468518400. Its totient is φ = 74850048.

The previous prime is 189346961. The next prime is 189346999. The reversal of 189346976 is 679643981.

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 15 ways as a sum of consecutive naturals, for example, 142025 + ... + 143351.

It is an arithmetic number, because the mean of its divisors is an integer number (4880400).

Almost surely, 2^189346976 is an apocalyptic number.

189346976 is a gapful number since it is divisible by the number (16) 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 189346976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234259200).

189346976 is an abundant number, since it is smaller than the sum of its proper divisors (279171424).

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

189346976 is a wasteful number, since it uses less digits than its factorization.

189346976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1349 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 53.

The square root of 189346976 is about 13760.3406934567. The cubic root of 189346976 is about 574.2303259677.

The spelling of 189346976 in words is "one hundred eighty-nine million, three hundred forty-six thousand, nine hundred seventy-six".