85415680 has 72 divisors (see below), whose sum is σ = 233849952. Its totient is φ = 29282304.

The previous prime is 85415651. The next prime is 85415699. The reversal of 85415680 is 8651458.

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 7 ways as a sum of consecutive naturals, for example, 4194 + ... + 13726.

It is an arithmetic number, because the mean of its divisors is an integer number (3247916).

Almost surely, 2^85415680 is an apocalyptic number.

85415680 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 85415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116924976).

85415680 is an abundant number, since it is smaller than the sum of its proper divisors (148434272).

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

85415680 is an equidigital number, since it uses as much as digits as its factorization.

85415680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9561 (or 9547 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

The square root of 85415680 is about 9242.0603763447. The cubic root of 85415680 is about 440.3985369814.

The spelling of 85415680 in words is "eighty-five million, four hundred fifteen thousand, six hundred eighty".