85951320 has 256 divisors, whose sum is σ = 336752640. Its totient is φ = 17031168.

The previous prime is 85951309. The next prime is 85951339. The reversal of 85951320 is 2315958.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 185409 + ... + 185871.

It is an arithmetic number, because the mean of its divisors is an integer number (1315440).

Almost surely, 2^85951320 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 85951320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168376320).

85951320 is an abundant number, since it is smaller than the sum of its proper divisors (250801320).

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

85951320 is a wasteful number, since it uses less digits than its factorization.

85951320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 85951320 is about 9270.9934742723. The cubic root of 85951320 is about 441.3171961213.

The spelling of 85951320 in words is "eighty-five million, nine hundred fifty-one thousand, three hundred twenty".