181982040 has 64 divisors (see below), whose sum is σ = 550994400. Its totient is φ = 48079872.

The previous prime is 181982023. The next prime is 181982051. The reversal of 181982040 is 40289181.

181982040 = T₁₅₉ + T₁₆₀ + ... + T₁₀₃₀.

181982040 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 181981992 and 181982010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6124 + ... + 20036.

Almost surely, 2^181982040 is an apocalyptic number.

181982040 is a gapful number since it is divisible by the number (10) 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 181982040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275497200).

181982040 is an abundant number, since it is smaller than the sum of its proper divisors (369012360).

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

181982040 is a wasteful number, since it uses less digits than its factorization.

181982040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14036 (or 14032 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 181982040 is about 13490.0719049233. The cubic root of 181982040 is about 566.6864691273.

The spelling of 181982040 in words is "one hundred eighty-one million, nine hundred eighty-two thousand, forty".