85121536 has 60 divisors (see below), whose sum is σ = 176755986. Its totient is φ = 40949760.

The previous prime is 85121527. The next prime is 85121537. The reversal of 85121536 is 63512158.

It can be written as a sum of positive squares in only one way, i.e., 55353600 + 29767936 = 7440^2 + 5456^2 .

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 85121498 and 85121507.

It is not an unprimeable number, because it can be changed into a prime (85121537) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 491946 + ... + 492118.

Almost surely, 2^85121536 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 85121536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88377993).

85121536 is an abundant number, since it is smaller than the sum of its proper divisors (91634450).

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

85121536 is an equidigital number, since it uses as much as digits as its factorization.

85121536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 206 counting only the distinct ones).

The product of its digits is 7200, while the sum is 31.

The square root of 85121536 is about 9226.1333179182. The cubic root of 85121536 is about 439.8924254922.

The spelling of 85121536 in words is "eighty-five million, one hundred twenty-one thousand, five hundred thirty-six".