85371680 has 24 divisors (see below), whose sum is σ = 201690972. Its totient is φ = 34148608.

The previous prime is 85371673. The next prime is 85371709. The reversal of 85371680 is 8617358.

It can be written as a sum of positive squares in 2 ways, for example, as 80928016 + 4443664 = 8996^2 + 2108^2 .

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 3 ways as a sum of consecutive naturals, for example, 266627 + ... + 266946.

Almost surely, 2^85371680 is an apocalyptic number.

85371680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85371680 is an abundant number, since it is smaller than the sum of its proper divisors (116319292).

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

85371680 is a wasteful number, since it uses less digits than its factorization.

85371680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533588 (or 533580 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 85371680 is about 9239.6796481263. The cubic root of 85371680 is about 440.3229034682.

The spelling of 85371680 in words is "eighty-five million, three hundred seventy-one thousand, six hundred eighty".