85362816 has 128 divisors (see below), whose sum is σ = 282792960. Its totient is φ = 22164480.

The previous prime is 85362791. The next prime is 85362817. The reversal of 85362816 is 61826358.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85362817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28125 + ... + 31011.

It is an arithmetic number, because the mean of its divisors is an integer number (2209320).

Almost surely, 2^85362816 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 85362816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141396480).

85362816 is an abundant number, since it is smaller than the sum of its proper divisors (197430144).

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

85362816 is a wasteful number, since it uses less digits than its factorization.

85362816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2922 (or 2910 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 85362816 is about 9239.1999653650. The cubic root of 85362816 is about 440.3076636084.

The spelling of 85362816 in words is "eighty-five million, three hundred sixty-two thousand, eight hundred sixteen".