85594880 has 144 divisors (see below), whose sum is σ = 241061184. Its totient is φ = 28508160.

The previous prime is 85594877. The next prime is 85594889. The reversal of 85594880 is 8849558.

It is not an unprimeable number, because it can be changed into a prime (85594889) 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, 367244 + ... + 367476.

It is an arithmetic number, because the mean of its divisors is an integer number (1674036).

Almost surely, 2^85594880 is an apocalyptic number.

85594880 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 85594880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120530592).

85594880 is an abundant number, since it is smaller than the sum of its proper divisors (155466304).

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

85594880 is a wasteful number, since it uses less digits than its factorization.

85594880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 47.

The square root of 85594880 is about 9251.7501047099. The cubic root of 85594880 is about 440.7063036262.

The spelling of 85594880 in words is "eighty-five million, five hundred ninety-four thousand, eight hundred eighty".