81882108 has 144 divisors (see below), whose sum is σ = 261381120. Its totient is φ = 20995200.

The previous prime is 81882089. The next prime is 81882113. The reversal of 81882108 is 80128818.

It is a happy number.

It is a super-2 number, since 2×81882108² = 13409359221047328, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 302013 + ... + 302283.

Almost surely, 2^81882108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81882108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130690560).

81882108 is an abundant number, since it is smaller than the sum of its proper divisors (179499012).

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

81882108 is a wasteful number, since it uses less digits than its factorization.

81882108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The square root of 81882108 is about 9048.8733000302. The cubic root of 81882108 is about 434.2398456247.

It can be divided in two parts, 8188 and 2108, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 81882108 in words is "eighty-one million, eight hundred eighty-two thousand, one hundred eight".