85606560 has 288 divisors, whose sum is σ = 334348560. Its totient is φ = 19759104.

The previous prime is 85606553. The next prime is 85606583. The reversal of 85606560 is 6560658.

It can be written as a sum of positive squares in 8 ways, for example, as 13220496 + 72386064 = 3636^2 + 8508^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 318106 + ... + 318374.

Almost surely, 2^85606560 is an apocalyptic number.

85606560 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 85606560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167174280).

85606560 is an abundant number, since it is smaller than the sum of its proper divisors (248742000).

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

85606560 is a wasteful number, since it uses less digits than its factorization.

85606560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 85606560 is about 9252.3813150994. The cubic root of 85606560 is about 440.7263484992.

The spelling of 85606560 in words is "eighty-five million, six hundred six thousand, five hundred sixty".