189288864 has 72 divisors (see below), whose sum is σ = 548490852. Its totient is φ = 61900800.

The previous prime is 189288859. The next prime is 189288901. The reversal of 189288864 is 468882981.

It can be written as a sum of positive squares in 2 ways, for example, as 188787600 + 501264 = 13740^2 + 708^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 189288864.

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, 9064 + ... + 21464.

Almost surely, 2^189288864 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 189288864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274245426).

189288864 is an abundant number, since it is smaller than the sum of its proper divisors (359201988).

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

189288864 is a wasteful number, since it uses less digits than its factorization.

189288864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12470 (or 12459 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 54.

The square root of 189288864 is about 13758.2289557922. The cubic root of 189288864 is about 574.1715747661.

The spelling of 189288864 in words is "one hundred eighty-nine million, two hundred eighty-eight thousand, eight hundred sixty-four".