85081680 has 60 divisors (see below), whose sum is σ = 285735060. Its totient is φ = 22688256.

The previous prime is 85081631. The next prime is 85081681. The reversal of 85081680 is 8618058.

It can be written as a sum of positive squares in 2 ways, for example, as 41679936 + 43401744 = 6456^2 + 6588^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85081681) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 58365 + ... + 59804.

It is an arithmetic number, because the mean of its divisors is an integer number (4762251).

Almost surely, 2^85081680 is an apocalyptic number.

85081680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85081680 is an abundant number, since it is smaller than the sum of its proper divisors (200653380).

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

85081680 is a wasteful number, since it uses less digits than its factorization.

85081680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118188 (or 118179 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 85081680 is about 9223.9731135775. The cubic root of 85081680 is about 439.8237586173.

The spelling of 85081680 in words is "eighty-five million, eighty-one thousand, six hundred eighty".