85055058 has 96 divisors (see below), whose sum is σ = 221045760. Its totient is φ = 23332320.

The previous prime is 85055053. The next prime is 85055059.

85055058 is a `hidden beast` number, since 8 + 50 + 550 + 58 = 666.

85055058 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (85055053) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86035 + ... + 87017.

It is an arithmetic number, because the mean of its divisors is an integer number (2302560).

Almost surely, 2^85055058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85055058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110522880).

85055058 is an abundant number, since it is smaller than the sum of its proper divisors (135990702).

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

85055058 is a wasteful number, since it uses less digits than its factorization.

85055058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 36.

The square root of 85055058 is about 9222.5299132071. The cubic root of 85055058 is about 439.7778803132. Note that the first 3 decimals are identical.

The spelling of 85055058 in words is "eighty-five million, fifty-five thousand, fifty-eight".