85509324 has 48 divisors (see below), whose sum is σ = 222499200. Its totient is φ = 28399248.

The previous prime is 85509323. The next prime is 85509341. The reversal of 85509324 is 42390558.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (85509323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31867 + ... + 34445.

It is an arithmetic number, because the mean of its divisors is an integer number (4635400).

Almost surely, 2^85509324 is an apocalyptic number.

It is an amenable number.

85509324 is an abundant number, since it is smaller than the sum of its proper divisors (136989876).

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

85509324 is a wasteful number, since it uses less digits than its factorization.

85509324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2899 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 85509324 is about 9247.1251748854. The cubic root of 85509324 is about 440.5594193027.

The spelling of 85509324 in words is "eighty-five million, five hundred nine thousand, three hundred twenty-four".