81883560 has 256 divisors, whose sum is σ = 293932800. Its totient is φ = 18022400.

The previous prime is 81883547. The next prime is 81883561. The reversal of 81883560 is 6538818.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (81883561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 919996 + ... + 920084.

It is an arithmetic number, because the mean of its divisors is an integer number (1148175).

Almost surely, 2^81883560 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 81883560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146966400).

81883560 is an abundant number, since it is smaller than the sum of its proper divisors (212049240).

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

81883560 is a wasteful number, since it uses less digits than its factorization.

81883560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 81883560 is about 9048.9535306576. The cubic root of 81883560 is about 434.2424123740.

The spelling of 81883560 in words is "eighty-one million, eight hundred eighty-three thousand, five hundred sixty".