85636320 has 288 divisors, whose sum is σ = 343357056. Its totient is φ = 17740800.

The previous prime is 85636319. The next prime is 85636339. The reversal of 85636320 is 2363658.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258555 + ... + 258885.

It is an arithmetic number, because the mean of its divisors is an integer number (1192212).

Almost surely, 2^85636320 is an apocalyptic number.

85636320 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 85636320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171678528).

85636320 is an abundant number, since it is smaller than the sum of its proper divisors (257720736).

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

85636320 is a wasteful number, since it uses less digits than its factorization.

85636320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 85636320 is about 9253.9894099788. The cubic root of 85636320 is about 440.7774134977. Note that the first 3 decimals are identical.

Adding to 85636320 its reverse (2363658), we get a palindrome (87999978).

The spelling of 85636320 in words is "eighty-five million, six hundred thirty-six thousand, three hundred twenty".