85597560 has 160 divisors (see below), whose sum is σ = 297950400. Its totient is φ = 22014720.

The previous prime is 85597549. The next prime is 85597571. The reversal of 85597560 is 6579558.

85597560 is a `hidden beast` number, since 8 + 5 + 597 + 56 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (85597549) and next prime (85597571).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 39 ways as a sum of consecutive naturals, for example, 93505 + ... + 94415.

It is an arithmetic number, because the mean of its divisors is an integer number (1862190).

Almost surely, 2^85597560 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 85597560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148975200).

85597560 is an abundant number, since it is smaller than the sum of its proper divisors (212352840).

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

85597560 is a wasteful number, since it uses less digits than its factorization.

85597560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 85597560 is about 9251.8949410378. The cubic root of 85597560 is about 440.7109031247.

The spelling of 85597560 in words is "eighty-five million, five hundred ninety-seven thousand, five hundred sixty".