85476 has 24 divisors (see below), whose sum is σ = 211680. Its totient is φ = 26752.

The previous prime is 85469. The next prime is 85487. The reversal of 85476 is 67458.

It is a happy number.

It is a super-2 number, since 2×85476² = 14612293152, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

85476 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6 + ... + 413.

It is an arithmetic number, because the mean of its divisors is an integer number (8820).

2⁸⁵⁴⁷⁶ 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 85476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105840).

85476 is an abundant number, since it is smaller than the sum of its proper divisors (126204).

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

85476 is a wasteful number, since it uses less digits than its factorization.

85476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 441 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 85476 is about 292.3627883298. The cubic root of 85476 is about 44.0502181452.

It can be divided in two parts, 85 and 476, that added together give a triangular number (561 = T₃₃).

The spelling of 85476 in words is "eighty-five thousand, four hundred seventy-six".