85695680 has 112 divisors (see below), whose sum is σ = 237110016. Its totient is φ = 28892160.

The previous prime is 85695679. The next prime is 85695683. The reversal of 85695680 is 8659658.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (85695683) 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, 149795 + ... + 150365.

Almost surely, 2^85695680 is an apocalyptic number.

85695680 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 85695680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118555008).

85695680 is an abundant number, since it is smaller than the sum of its proper divisors (151414336).

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

85695680 is a wasteful number, since it uses less digits than its factorization.

85695680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 47.

The square root of 85695680 is about 9257.1961197762. The cubic root of 85695680 is about 440.8792336294.

The spelling of 85695680 in words is "eighty-five million, six hundred ninety-five thousand, six hundred eighty".