85326720 has 128 divisors (see below), whose sum is σ = 286416000. Its totient is φ = 21547008.

The previous prime is 85326691. The next prime is 85326727. The reversal of 85326720 is 2762358.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85326727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35311 + ... + 37649.

It is an arithmetic number, because the mean of its divisors is an integer number (2237625).

Almost surely, 2^85326720 is an apocalyptic number.

85326720 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 85326720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143208000).

85326720 is an abundant number, since it is smaller than the sum of its proper divisors (201089280).

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

85326720 is a wasteful number, since it uses less digits than its factorization.

85326720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2380 (or 2368 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 85326720 is about 9237.2463429314. The cubic root of 85326720 is about 440.2455929205.

The spelling of 85326720 in words is "eighty-five million, three hundred twenty-six thousand, seven hundred twenty".