85697360 has 80 divisors (see below), whose sum is σ = 229152000. Its totient is φ = 29196288.

The previous prime is 85697347. The next prime is 85697363. The reversal of 85697360 is 6379658.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85697363) 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, 111056 + ... + 111824.

It is an arithmetic number, because the mean of its divisors is an integer number (2864400).

Almost surely, 2^85697360 is an apocalyptic number.

85697360 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 85697360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114576000).

85697360 is an abundant number, since it is smaller than the sum of its proper divisors (143454640).

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

85697360 is a wasteful number, since it uses less digits than its factorization.

85697360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 44.

The square root of 85697360 is about 9257.2868595502. The cubic root of 85697360 is about 440.8821146470.

The spelling of 85697360 in words is "eighty-five million, six hundred ninety-seven thousand, three hundred sixty".