85756320 has 240 divisors, whose sum is σ = 326569320. Its totient is φ = 21067776.

The previous prime is 85756303. The next prime is 85756331. The reversal of 85756320 is 2365758.

85756320 is a `hidden beast` number, since 8 + 575 + 63 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 66781584 + 18974736 = 8172^2 + 4356^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 168226 + ... + 168734.

Almost surely, 2^85756320 is an apocalyptic number.

85756320 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 85756320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163284660).

85756320 is an abundant number, since it is smaller than the sum of its proper divisors (240813000).

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

85756320 is a wasteful number, since it uses less digits than its factorization.

85756320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 85756320 is about 9260.4708303628. The cubic root of 85756320 is about 440.9832008039.

The spelling of 85756320 in words is "eighty-five million, seven hundred fifty-six thousand, three hundred twenty".