189536832 has 84 divisors (see below), whose sum is σ = 547762176. Its totient is φ = 62657280.

The previous prime is 189536807. The next prime is 189536849. The reversal of 189536832 is 238635981.

It is a happy number.

189536832 is a `hidden beast` number, since 1 + 89 + 536 + 8 + 32 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 71857 + ... + 74447.

Almost surely, 2^189536832 is an apocalyptic number.

189536832 is a gapful number since it is divisible by the number (12) 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 189536832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273881088).

189536832 is an abundant number, since it is smaller than the sum of its proper divisors (358225344).

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

189536832 is a wasteful number, since it uses less digits than its factorization.

189536832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2736 (or 2723 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 189536832 is about 13767.2376314205. The cubic root of 189536832 is about 574.4221865355.

The spelling of 189536832 in words is "one hundred eighty-nine million, five hundred thirty-six thousand, eight hundred thirty-two".