85510096 has 60 divisors (see below), whose sum is σ = 199423620. Its totient is φ = 35374080.

The previous prime is 85510091. The next prime is 85510111. The reversal of 85510096 is 69001558.

It can be written as a sum of positive squares in 2 ways, for example, as 41473600 + 44036496 = 6440^2 + 6636^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85510091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20856 + ... + 24616.

It is an arithmetic number, because the mean of its divisors is an integer number (3323727).

Almost surely, 2^85510096 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 85510096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99711810).

85510096 is an abundant number, since it is smaller than the sum of its proper divisors (113913524).

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

85510096 is a wasteful number, since it uses less digits than its factorization.

85510096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3812 (or 3799 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 34.

The square root of 85510096 is about 9247.1669174942. The cubic root of 85510096 is about 440.5607451263.

The spelling of 85510096 in words is "eighty-five million, five hundred ten thousand, ninety-six".