85123458 has 144 divisors (see below), whose sum is σ = 235460160. Its totient is φ = 21695040.

The previous prime is 85123457. The next prime is 85123463. The reversal of 85123458 is 85432158.

It is a happy number.

85123458 is a `hidden beast` number, since 85 + 123 + 458 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (85123453) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2300616 + ... + 2300652.

It is an arithmetic number, because the mean of its divisors is an integer number (1635140).

Almost surely, 2^85123458 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85123458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117730080).

85123458 is an abundant number, since it is smaller than the sum of its proper divisors (150336702).

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

85123458 is a wasteful number, since it uses less digits than its factorization.

85123458 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 99 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 85123458 is about 9226.2374779755. The cubic root of 85123458 is about 439.8957363146.

The spelling of 85123458 in words is "eighty-five million, one hundred twenty-three thousand, four hundred fifty-eight".