182382816 has 144 divisors (see below), whose sum is σ = 601679232. Its totient is φ = 47351040.

The previous prime is 182382803. The next prime is 182382829. The reversal of 182382816 is 618283281.

It is an interprime number because it is at equal distance from previous prime (182382803) and next prime (182382829).

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 23 ways as a sum of consecutive naturals, for example, 80191 + ... + 82433.

It is an arithmetic number, because the mean of its divisors is an integer number (4178328).

Almost surely, 2^182382816 is an apocalyptic number.

182382816 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 182382816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300839616).

182382816 is an abundant number, since it is smaller than the sum of its proper divisors (419296416).

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

182382816 is a wasteful number, since it uses less digits than its factorization.

182382816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2285 (or 2266 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 182382816 is about 13504.9182152281. The cubic root of 182382816 is about 567.1021654906.

The spelling of 182382816 in words is "one hundred eighty-two million, three hundred eighty-two thousand, eight hundred sixteen".