85527344 has 90 divisors (see below), whose sum is σ = 200695860. Its totient is φ = 35195328.

The previous prime is 85527331. The next prime is 85527349. The reversal of 85527344 is 44372558.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 85527298 and 85527307.

It is not an unprimeable number, because it can be changed into a prime (85527349) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1449587 + ... + 1449645.

It is an arithmetic number, because the mean of its divisors is an integer number (2229954).

Almost surely, 2^85527344 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 85527344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100347930).

85527344 is an abundant number, since it is smaller than the sum of its proper divisors (115168516).

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

85527344 is a wasteful number, since it uses less digits than its factorization.

85527344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 111 counting only the distinct ones).

The product of its digits is 134400, while the sum is 38.

The square root of 85527344 is about 9248.0994804338. The cubic root of 85527344 is about 440.5903645562.

The spelling of 85527344 in words is "eighty-five million, five hundred twenty-seven thousand, three hundred forty-four".