85712580 has 120 divisors (see below), whose sum is σ = 271399128. Its totient is φ = 22643712.

The previous prime is 85712579. The next prime is 85712593. The reversal of 85712580 is 8521758.

85712580 is a `hidden beast` number, since 8 + 5 + 71 + 2 + 580 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 777924 + 84934656 = 882^2 + 9216^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 254172 + ... + 254508.

Almost surely, 2^85712580 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85712580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135699564).

85712580 is an abundant number, since it is smaller than the sum of its proper divisors (185686548).

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

85712580 is a wasteful number, since it uses less digits than its factorization.

85712580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 85712580 is about 9258.1088781673. The cubic root of 85712580 is about 440.9082135784.

The spelling of 85712580 in words is "eighty-five million, seven hundred twelve thousand, five hundred eighty".