182894112 has 120 divisors (see below), whose sum is σ = 551325852. Its totient is φ = 59443200.

The previous prime is 182894099. The next prime is 182894123. The reversal of 182894112 is 211498281.

It is a happy number.

182894112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 178382736 + 4511376 = 13356^2 + 2124^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 105412 + ... + 107132.

Almost surely, 2^182894112 is an apocalyptic number.

182894112 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 182894112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275662926).

182894112 is an abundant number, since it is smaller than the sum of its proper divisors (368431740).

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

182894112 is a wasteful number, since it uses less digits than its factorization.

182894112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784 (or 1767 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 182894112 is about 13523.8349590639. The cubic root of 182894112 is about 567.6316132735.

The spelling of 182894112 in words is "one hundred eighty-two million, eight hundred ninety-four thousand, one hundred twelve".