181842408 has 160 divisors (see below), whose sum is σ = 563492160. Its totient is φ = 54328320.

The previous prime is 181842379. The next prime is 181842413. The reversal of 181842408 is 804248181.

It is a happy number.

It is a super-2 number, since 2×181842408² = 66133322694476928, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 691285 + ... + 691547.

It is an arithmetic number, because the mean of its divisors is an integer number (3521826).

Almost surely, 2^181842408 is an apocalyptic number.

181842408 is a gapful number since it is divisible by the number (18) 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 181842408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281746080).

181842408 is an abundant number, since it is smaller than the sum of its proper divisors (381649752).

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

181842408 is a wasteful number, since it uses less digits than its factorization.

181842408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 181842408 is about 13484.8955502073. The cubic root of 181842408 is about 566.5414954594.

The spelling of 181842408 in words is "one hundred eighty-one million, eight hundred forty-two thousand, four hundred eight".