85208760 has 480 divisors, whose sum is σ = 374441760. Its totient is φ = 16920576.

The previous prime is 85208723. The next prime is 85208821. The reversal of 85208760 is 6780258.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5012272 + ... + 5012288.

It is an arithmetic number, because the mean of its divisors is an integer number (780087).

Almost surely, 2^85208760 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 85208760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187220880).

85208760 is an abundant number, since it is smaller than the sum of its proper divisors (289233000).

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

85208760 is a wasteful number, since it uses less digits than its factorization.

85208760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 85208760 is about 9230.8591149470. The cubic root of 85208760 is about 440.0426267242.

The spelling of 85208760 in words is "eighty-five million, two hundred eight thousand, seven hundred sixty".