85364320 has 48 divisors (see below), whose sum is σ = 203309568. Its totient is φ = 33868800.

The previous prime is 85364317. The next prime is 85364333. The reversal of 85364320 is 2346358.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 18220 + ... + 22420.

It is an arithmetic number, because the mean of its divisors is an integer number (4235616).

Almost surely, 2^85364320 is an apocalyptic number.

85364320 is a gapful number since it is divisible by the number (80) 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 85364320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101654784).

85364320 is an abundant number, since it is smaller than the sum of its proper divisors (117945248).

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

85364320 is a wasteful number, since it uses less digits than its factorization.

85364320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4343 (or 4335 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 85364320 is about 9239.2813573351. The cubic root of 85364320 is about 440.3102495073.

The spelling of 85364320 in words is "eighty-five million, three hundred sixty-four thousand, three hundred twenty".