181982016 has 84 divisors (see below), whose sum is σ = 524641572. Its totient is φ = 60309504.

The previous prime is 181982011. The next prime is 181982023. The reversal of 181982016 is 610289181.

It can be written as a sum of positive squares in 2 ways, for example, as 20793600 + 161188416 = 4560^2 + 12696^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181982011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110350 + ... + 111986.

It is an arithmetic number, because the mean of its divisors is an integer number (6245733).

Almost surely, 2^181982016 is an apocalyptic number.

181982016 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 181982016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262320786).

181982016 is an abundant number, since it is smaller than the sum of its proper divisors (342659556).

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

181982016 is a wasteful number, since it uses less digits than its factorization.

181982016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 181982016 is about 13490.0710153802. The cubic root of 181982016 is about 566.6864442155.

The spelling of 181982016 in words is "one hundred eighty-one million, nine hundred eighty-two thousand, sixteen".