85476816 has 160 divisors (see below), whose sum is σ = 264625920. Its totient is φ = 26320896.

The previous prime is 85476793. The next prime is 85476817. The reversal of 85476816 is 61867458.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85476817) 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, 756376 + ... + 756488.

It is an arithmetic number, because the mean of its divisors is an integer number (1653912).

Almost surely, 2^85476816 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 85476816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132312960).

85476816 is an abundant number, since it is smaller than the sum of its proper divisors (179149104).

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

85476816 is a wasteful number, since it uses less digits than its factorization.

85476816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 238 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 85476816 is about 9245.3672723154. The cubic root of 85476816 is about 440.5035832051.

The spelling of 85476816 in words is "eighty-five million, four hundred seventy-six thousand, eight hundred sixteen".