85006980 has 36 divisors (see below), whose sum is σ = 257855052. Its totient is φ = 22668480.

The previous prime is 85006949. The next prime is 85007059. The reversal of 85006980 is 8960058.

It can be written as a sum of positive squares in 2 ways, for example, as 10771524 + 74235456 = 3282^2 + 8616^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 235951 + ... + 236310.

Almost surely, 2^85006980 is an apocalyptic number.

It is an amenable number.

85006980 is an abundant number, since it is smaller than the sum of its proper divisors (172848072).

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

85006980 is a wasteful number, since it uses less digits than its factorization.

85006980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472276 (or 472271 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 85006980 is about 9219.9229931708. The cubic root of 85006980 is about 439.6950021300.

The spelling of 85006980 in words is "eighty-five million, six thousand, nine hundred eighty".