85858080 has 384 divisors, whose sum is σ = 355332096. Its totient is φ = 16896000.

The previous prime is 85858043. The next prime is 85858111. The reversal of 85858080 is 8085858.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 850030 + ... + 850130.

It is an arithmetic number, because the mean of its divisors is an integer number (925344).

Almost surely, 2^85858080 is an apocalyptic number.

85858080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85858080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177666048).

85858080 is an abundant number, since it is smaller than the sum of its proper divisors (269474016).

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

85858080 is a wasteful number, since it uses less digits than its factorization.

85858080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 42.

The square root of 85858080 is about 9265.9635224838. The cubic root of 85858080 is about 441.1575580703.

The spelling of 85858080 in words is "eighty-five million, eight hundred fifty-eight thousand, eighty".