81883008 has 256 divisors, whose sum is σ = 269280000. Its totient is φ = 24385536.

The previous prime is 81883003. The next prime is 81883031. The reversal of 81883008 is 80038818.

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 (81883001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1904235 + ... + 1904277.

It is an arithmetic number, because the mean of its divisors is an integer number (1051875).

Almost surely, 2^81883008 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 81883008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134640000).

81883008 is an abundant number, since it is smaller than the sum of its proper divisors (187396992).

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

81883008 is a wasteful number, since it uses less digits than its factorization.

81883008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 81883008 is about 9048.9230298417. The cubic root of 81883008 is about 434.2414365886.

The spelling of 81883008 in words is "eighty-one million, eight hundred eighty-three thousand, eight".