85825320 has 128 divisors (see below), whose sum is σ = 298045440. Its totient is φ = 19365120.

The previous prime is 85825303. The next prime is 85825331. The reversal of 85825320 is 2352858.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69105 + ... + 70335.

It is an arithmetic number, because the mean of its divisors is an integer number (2328480).

Almost surely, 2^85825320 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 85825320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149022720).

85825320 is an abundant number, since it is smaller than the sum of its proper divisors (212220120).

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

85825320 is a wasteful number, since it uses less digits than its factorization.

85825320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 85825320 is about 9264.1955937901. The cubic root of 85825320 is about 441.1014415886.

The spelling of 85825320 in words is "eighty-five million, eight hundred twenty-five thousand, three hundred twenty".