85386324 has 48 divisors (see below), whose sum is σ = 207789120. Its totient is φ = 27256320.

The previous prime is 85386319. The next prime is 85386383. The reversal of 85386324 is 42368358.

It is a zygodrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44652 + ... + 46524.

It is an arithmetic number, because the mean of its divisors is an integer number (4328940).

Almost surely, 2^85386324 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 85386324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103894560).

85386324 is an abundant number, since it is smaller than the sum of its proper divisors (122402796).

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

85386324 is a wasteful number, since it uses less digits than its factorization.

85386324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2040 (or 2038 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 85386324 is about 9240.4720658633. The cubic root of 85386324 is about 440.3480785612.

The spelling of 85386324 in words is "eighty-five million, three hundred eighty-six thousand, three hundred twenty-four".