85658580 has 384 divisors, whose sum is σ = 340623360. Its totient is φ = 17418240.

The previous prime is 85658567. The next prime is 85658603. The reversal of 85658580 is 8585658.

85658580 is a `hidden beast` number, since 8 + 5 + 65 + 8 + 580 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1992039 + ... + 1992081.

It is an arithmetic number, because the mean of its divisors is an integer number (887040).

Almost surely, 2^85658580 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 85658580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170311680).

85658580 is an abundant number, since it is smaller than the sum of its proper divisors (254964780).

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

85658580 is a wasteful number, since it uses less digits than its factorization.

85658580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The square root of 85658580 is about 9255.1920563541. The cubic root of 85658580 is about 440.8156015593.

The spelling of 85658580 in words is "eighty-five million, six hundred fifty-eight thousand, five hundred eighty".