85085952 has 288 divisors, whose sum is σ = 294336000. Its totient is φ = 21676032.

The previous prime is 85085951. The next prime is 85085963. The reversal of 85085952 is 25958058.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85085951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4478199 + ... + 4478217.

It is an arithmetic number, because the mean of its divisors is an integer number (1022000).

Almost surely, 2^85085952 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 85085952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147168000).

85085952 is an abundant number, since it is smaller than the sum of its proper divisors (209250048).

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

85085952 is a wasteful number, since it uses less digits than its factorization.

85085952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 42.

The square root of 85085952 is about 9224.2046811636. The cubic root of 85085952 is about 439.8311197619.

The spelling of 85085952 in words is "eighty-five million, eighty-five thousand, nine hundred fifty-two".