189776 has 20 divisors (see below), whose sum is σ = 381300. Its totient is φ = 91392.

The previous prime is 189767. The next prime is 189797. The reversal of 189776 is 677981.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 141376 + 48400 = 376^2 + 220^2 .

It is a congruent number.

It is an unprimeable number.

189776 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 260 + ... + 668.

It is an arithmetic number, because the mean of its divisors is an integer number (19065).

2¹⁸⁹⁷⁷⁶ is an apocalyptic number.

189776 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 189776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190650).

189776 is an abundant number, since it is smaller than the sum of its proper divisors (191524).

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

189776 is a wasteful number, since it uses less digits than its factorization.

189776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 440 counting only the distinct ones).

The product of its digits is 21168, while the sum is 38.

The square root of 189776 is about 435.6328729561. The cubic root of 189776 is about 57.4663697484.

The spelling of 189776 in words is "one hundred eighty-nine thousand, seven hundred seventy-six".