81883152 has 240 divisors, whose sum is σ = 272982528. Its totient is φ = 22671360.

The previous prime is 81883097. The next prime is 81883157. The reversal of 81883152 is 25138818.

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

It is not an unprimeable number, because it can be changed into a prime (81883157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 986503 + ... + 986585.

Almost surely, 2^81883152 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 81883152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136491264).

81883152 is an abundant number, since it is smaller than the sum of its proper divisors (191099376).

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

81883152 is a wasteful number, since it uses less digits than its factorization.

81883152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 149 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 81883152 is about 9048.9309865862. The cubic root of 81883152 is about 434.2416911417.

The spelling of 81883152 in words is "eighty-one million, eight hundred eighty-three thousand, one hundred fifty-two".