85400 has 48 divisors (see below), whose sum is σ = 230640. Its totient is φ = 28800.

The previous prime is 85381. The next prime is 85411. The reversal of 85400 is 458.

85400 = 46² + 47² + ... + 70².

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

85400 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 11 ways as a sum of consecutive naturals, for example, 1370 + ... + 1430.

It is an arithmetic number, because the mean of its divisors is an integer number (4805).

2⁸⁵⁴⁰⁰ 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 85400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115320).

85400 is an abundant number, since it is smaller than the sum of its proper divisors (145240).

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

85400 is a wasteful number, since it uses less digits than its factorization.

85400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 85400 is about 292.2327839240. The cubic root of 85400 is about 44.0371586927.

Adding to 85400 its reverse (458), we get a palindrome (85858).

The spelling of 85400 in words is "eighty-five thousand, four hundred".