189632256 has 72 divisors (see below), whose sum is σ = 550604544. Its totient is φ = 57461760.

The previous prime is 189632243. The next prime is 189632273. The reversal of 189632256 is 652236981.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2776 + ... + 19671.

Almost surely, 2^189632256 is an apocalyptic number.

189632256 is a gapful number since it is divisible by the number (16) 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 189632256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275302272).

189632256 is an abundant number, since it is smaller than the sum of its proper divisors (360972288).

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

189632256 is a wasteful number, since it uses less digits than its factorization.

189632256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22477 (or 22463 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 189632256 is about 13770.7028143084. The cubic root of 189632256 is about 574.5185696781.

It can be divided in two parts, 1896322 and 56, that added together give a triangular number (1896378 = T₁₉₄₇).

The spelling of 189632256 in words is "one hundred eighty-nine million, six hundred thirty-two thousand, two hundred fifty-six".