85816680 has 256 divisors, whose sum is σ = 298598400. Its totient is φ = 19599360.

The previous prime is 85816583. The next prime is 85816693. The reversal of 85816680 is 8661858.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1454491 + ... + 1454549.

It is an arithmetic number, because the mean of its divisors is an integer number (1166400).

Almost surely, 2^85816680 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 85816680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149299200).

85816680 is an abundant number, since it is smaller than the sum of its proper divisors (212781720).

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

85816680 is a wasteful number, since it uses less digits than its factorization.

85816680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 85816680 is about 9263.7292706555. The cubic root of 85816680 is about 441.0866392577.

The spelling of 85816680 in words is "eighty-five million, eight hundred sixteen thousand, six hundred eighty".