85332324 has 144 divisors (see below), whose sum is σ = 257402880. Its totient is φ = 21752640.

The previous prime is 85332311. The next prime is 85332353. The reversal of 85332324 is 42323358.

It is a junction number, because it is equal to n+sod(n) for n = 85332291 and 85332300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 510889 + ... + 511055.

It is an arithmetic number, because the mean of its divisors is an integer number (1787520).

Almost surely, 2^85332324 is an apocalyptic number.

85332324 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85332324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128701440).

85332324 is an abundant number, since it is smaller than the sum of its proper divisors (172070556).

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

85332324 is a wasteful number, since it uses less digits than its factorization.

85332324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 269 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The square root of 85332324 is about 9237.5496751032. The cubic root of 85332324 is about 440.2552307076.

The spelling of 85332324 in words is "eighty-five million, three hundred thirty-two thousand, three hundred twenty-four".