189234864 has 180 divisors, whose sum is σ = 663770016. Its totient is φ = 49883904.

The previous prime is 189234863. The next prime is 189234883. The reversal of 189234864 is 468432981.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (189234863) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 90697 + ... + 92759.

Almost surely, 2^189234864 is an apocalyptic number.

189234864 is a gapful number since it is divisible by the number (14) 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 189234864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331885008).

189234864 is an abundant number, since it is smaller than the sum of its proper divisors (474535152).

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

189234864 is a wasteful number, since it uses less digits than its factorization.

189234864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104 (or 2088 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 189234864 is about 13756.2663539203. The cubic root of 189234864 is about 574.1169700150.

The spelling of 189234864 in words is "one hundred eighty-nine million, two hundred thirty-four thousand, eight hundred sixty-four".