85396000 has 96 divisors (see below), whose sum is σ = 215862192. Its totient is φ = 33177600.

The previous prime is 85395991. The next prime is 85396001. The reversal of 85396000 is 69358.

It can be written as a sum of positive squares in 8 ways, for example, as 40398736 + 44997264 = 6356^2 + 6708^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85396001) 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, 147712 + ... + 148288.

Almost surely, 2^85396000 is an apocalyptic number.

85396000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85396000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107931096).

85396000 is an abundant number, since it is smaller than the sum of its proper divisors (130466192).

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

85396000 is a wasteful number, since it uses less digits than its factorization.

85396000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 85396000 is about 9240.9956173564. The cubic root of 85396000 is about 440.3647113851.

The spelling of 85396000 in words is "eighty-five million, three hundred ninety-six thousand".