85096320 has 256 divisors, whose sum is σ = 296110080. Its totient is φ = 20725760.

The previous prime is 85096301. The next prime is 85096327. The reversal of 85096320 is 2369058.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85096327) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1810537 + ... + 1810583.

It is an arithmetic number, because the mean of its divisors is an integer number (1156680).

Almost surely, 2^85096320 is an apocalyptic number.

85096320 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 85096320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148055040).

85096320 is an abundant number, since it is smaller than the sum of its proper divisors (211013760).

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

85096320 is a wasteful number, since it uses less digits than its factorization.

85096320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 85096320 is about 9224.7666637157. The cubic root of 85096320 is about 439.8489839872.

The spelling of 85096320 in words is "eighty-five million, ninety-six thousand, three hundred twenty".