85017680 has 80 divisors (see below), whose sum is σ = 228360384. Its totient is φ = 29091840.

The previous prime is 85017631. The next prime is 85017721. The reversal of 85017680 is 8671058.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 85017680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12119 + ... + 17801.

Almost surely, 2^85017680 is an apocalyptic number.

85017680 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 85017680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114180192).

85017680 is an abundant number, since it is smaller than the sum of its proper divisors (143342704).

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

85017680 is a wasteful number, since it uses less digits than its factorization.

85017680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5724 (or 5718 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 35.

The square root of 85017680 is about 9220.5032400623. The cubic root of 85017680 is about 439.7134497882.

The spelling of 85017680 in words is "eighty-five million, seventeen thousand, six hundred eighty".