189564864 has 56 divisors (see below), whose sum is σ = 505236480. Its totient is φ = 62724864.

The previous prime is 189564863. The next prime is 189564871. The reversal of 189564864 is 468465981.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189564863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23137 + ... + 30239.

It is an arithmetic number, because the mean of its divisors is an integer number (9022080).

Almost surely, 2^189564864 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 189564864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252618240).

189564864 is an abundant number, since it is smaller than the sum of its proper divisors (315671616).

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

189564864 is a wasteful number, since it uses less digits than its factorization.

189564864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7257 (or 7247 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 51.

The square root of 189564864 is about 13768.2556629371. The cubic root of 189564864 is about 574.4505036508.

The spelling of 189564864 in words is "one hundred eighty-nine million, five hundred sixty-four thousand, eight hundred sixty-four".