85234968 has 96 divisors (see below), whose sum is σ = 284138400. Its totient is φ = 22477824.

The previous prime is 85234951. The next prime is 85234979. The reversal of 85234968 is 86943258.

It is a super-2 number, since 2×85234968² = 14529999539922048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48 + ... + 13056.

It is an arithmetic number, because the mean of its divisors is an integer number (2959775).

Almost surely, 2^85234968 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 85234968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142069200).

85234968 is an abundant number, since it is smaller than the sum of its proper divisors (198903432).

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

85234968 is a wasteful number, since it uses less digits than its factorization.

85234968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13041 (or 13034 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 85234968 is about 9232.2785919837. The cubic root of 85234968 is about 440.0877373247.

The spelling of 85234968 in words is "eighty-five million, two hundred thirty-four thousand, nine hundred sixty-eight".