85331680 has 96 divisors (see below), whose sum is σ = 234360000. Its totient is φ = 28753920.

The previous prime is 85331677. The next prime is 85331693. The reversal of 85331680 is 8613358.

It is a happy number.

It is a super-2 number, since 2×85331680² = 14562991223244800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67696 + ... + 68944.

It is an arithmetic number, because the mean of its divisors is an integer number (2441250).

Almost surely, 2^85331680 is an apocalyptic number.

85331680 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 85331680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117180000).

85331680 is an abundant number, since it is smaller than the sum of its proper divisors (149028320).

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

85331680 is a wasteful number, since it uses less digits than its factorization.

85331680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 85331680 is about 9237.5148173088. The cubic root of 85331680 is about 440.2541231747.

The spelling of 85331680 in words is "eighty-five million, three hundred thirty-one thousand, six hundred eighty".