181906816 has 192 divisors, whose sum is σ = 478608480. Its totient is φ = 68124672.

The previous prime is 181906807. The next prime is 181906841. The reversal of 181906816 is 618609181.

181906816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1875280 + ... + 1875376.

Almost surely, 2^181906816 is an apocalyptic number.

181906816 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 181906816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239304240).

181906816 is an abundant number, since it is smaller than the sum of its proper divisors (296701664).

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

181906816 is a wasteful number, since it uses less digits than its factorization.

181906816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 40.

The square root of 181906816 is about 13487.2834922382. The cubic root of 181906816 is about 566.6083766263.

The spelling of 181906816 in words is "one hundred eighty-one million, nine hundred six thousand, eight hundred sixteen".