85852580 has 96 divisors (see below), whose sum is σ = 206841600. Its totient is φ = 29652480.

The previous prime is 85852519. The next prime is 85852603. The reversal of 85852580 is 8525858.

85852580 = 241² + 242² + ... + 647².

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431321 + ... + 431519.

It is an arithmetic number, because the mean of its divisors is an integer number (2154600).

Almost surely, 2^85852580 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 85852580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103420800).

85852580 is an abundant number, since it is smaller than the sum of its proper divisors (120989020).

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

85852580 is a wasteful number, since it uses less digits than its factorization.

85852580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 41.

The square root of 85852580 is about 9265.6667326210. Note that the first 3 decimals coincide. The cubic root of 85852580 is about 441.1481378023.

The spelling of 85852580 in words is "eighty-five million, eight hundred fifty-two thousand, five hundred eighty".