85350096 has 120 divisors (see below), whose sum is σ = 259983360. Its totient is φ = 25982208.

The previous prime is 85350091. The next prime is 85350107. The reversal of 85350096 is 69005358.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 85350096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85350091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 237565 + ... + 237923.

It is an arithmetic number, because the mean of its divisors is an integer number (2166528).

Almost surely, 2^85350096 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 85350096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129991680).

85350096 is an abundant number, since it is smaller than the sum of its proper divisors (174633264).

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

85350096 is a wasteful number, since it uses less digits than its factorization.

85350096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 85350096 is about 9238.5115684292. The cubic root of 85350096 is about 440.2857922912.

The spelling of 85350096 in words is "eighty-five million, three hundred fifty thousand, ninety-six".