85329324 has 72 divisors (see below), whose sum is σ = 231901488. Its totient is φ = 26357760.

The previous prime is 85329319. The next prime is 85329367. The reversal of 85329324 is 42392358.

85329324 is a `hidden beast` number, since 8 + 5 + 329 + 324 = 666.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 39964 + ... + 42044.

It is an arithmetic number, because the mean of its divisors is an integer number (3220854).

Almost surely, 2^85329324 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 85329324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115950744).

85329324 is an abundant number, since it is smaller than the sum of its proper divisors (146572164).

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

85329324 is a wasteful number, since it uses less digits than its factorization.

85329324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175 (or 2170 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 85329324 is about 9237.3872929525. The cubic root of 85329324 is about 440.2500713452.

The spelling of 85329324 in words is "eighty-five million, three hundred twenty-nine thousand, three hundred twenty-four".