85811616 has 96 divisors (see below), whose sum is σ = 273067200. Its totient is φ = 26000640.

The previous prime is 85811599. The next prime is 85811623. The reversal of 85811616 is 61611858.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4990 + ... + 14018.

It is an arithmetic number, because the mean of its divisors is an integer number (2844450).

Almost surely, 2^85811616 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 85811616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136533600).

85811616 is an abundant number, since it is smaller than the sum of its proper divisors (187255584).

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

85811616 is a wasteful number, since it uses less digits than its factorization.

85811616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9059 (or 9045 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The square root of 85811616 is about 9263.4559425735. The cubic root of 85811616 is about 441.0779629853.

The spelling of 85811616 in words is "eighty-five million, eight hundred eleven thousand, six hundred sixteen".