189468576 has 108 divisors (see below), whose sum is σ = 592345026. Its totient is φ = 57404160.

The previous prime is 189468523. The next prime is 189468577. The reversal of 189468576 is 675864981.

189468576 is a `hidden beast` number, since 1 + 8 + 9 + 4 + 68 + 576 = 666.

It can be written as a sum of positive squares in only one way, i.e., 157251600 + 32216976 = 12540^2 + 5676^2 .

It is not an unprimeable number, because it can be changed into a prime (189468577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 32130 + ... + 37566.

Almost surely, 2^189468576 is an apocalyptic number.

189468576 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 189468576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296172513).

189468576 is an abundant number, since it is smaller than the sum of its proper divisors (402876450).

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

189468576 is a wasteful number, since it uses less digits than its factorization.

189468576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5475 (or 5453 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 189468576 is about 13764.7584795375. The cubic root of 189468576 is about 574.3532246214.

The spelling of 189468576 in words is "one hundred eighty-nine million, four hundred sixty-eight thousand, five hundred seventy-six".