85058820 has 432 divisors, whose sum is σ = 359468928. Its totient is φ = 15759360.

The previous prime is 85058789. The next prime is 85058821. The reversal of 85058820 is 2885058.

85058820 is a `hidden beast` number, since 8 + 50 + 588 + 20 = 666.

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 (85058821) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4476771 + ... + 4476789.

It is an arithmetic number, because the mean of its divisors is an integer number (832104).

Almost surely, 2^85058820 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 85058820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179734464).

85058820 is an abundant number, since it is smaller than the sum of its proper divisors (274410108).

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

85058820 is a wasteful number, since it uses less digits than its factorization.

85058820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 85058820 is about 9222.7338680025. The cubic root of 85058820 is about 439.7843640350.

The spelling of 85058820 in words is "eighty-five million, fifty-eight thousand, eight hundred twenty".