85376 has 32 divisors (see below), whose sum is σ = 183600. Its totient is φ = 39424.

The previous prime is 85369. The next prime is 85381. The reversal of 85376 is 67358.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×85376² = 14578122752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85376.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2930 + ... + 2958.

2⁸⁵³⁷⁶ 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 85376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91800).

85376 is an abundant number, since it is smaller than the sum of its proper divisors (98224).

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

85376 is a wasteful number, since it uses less digits than its factorization.

85376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 54 counting only the distinct ones).

The product of its digits is 5040, while the sum is 29.

The square root of 85376 is about 292.1917178840. The cubic root of 85376 is about 44.0330330454.

It can be divided in two parts, 853 and 76, that added together give a palindrome (929).

The spelling of 85376 in words is "eighty-five thousand, three hundred seventy-six".