189462564 has 60 divisors (see below), whose sum is σ = 497294028. Its totient is φ = 62899200.

The previous prime is 189462563. The next prime is 189462571. The reversal of 189462564 is 465264981.

189462564 is a `hidden beast` number, since 1 + 89 + 4 + 6 + 2 + 564 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 100160064 + 89302500 = 10008^2 + 9450^2 .

It is not an unprimeable number, because it can be changed into a prime (189462563) 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 19 ways as a sum of consecutive naturals, for example, 90004 + ... + 92084.

Almost surely, 2^189462564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189462564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248647014).

189462564 is an abundant number, since it is smaller than the sum of its proper divisors (307831464).

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

189462564 is a wasteful number, since it uses less digits than its factorization.

189462564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2378 (or 2367 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 189462564 is about 13764.5400940242. The cubic root of 189462564 is about 574.3471496507.

The spelling of 189462564 in words is "one hundred eighty-nine million, four hundred sixty-two thousand, five hundred sixty-four".