85201560 has 96 divisors (see below), whose sum is σ = 278160480. Its totient is φ = 22617600.

The previous prime is 85201541. The next prime is 85201561. The reversal of 85201560 is 6510258.

85201560 is a `hidden beast` number, since 85 + 20 + 1 + 560 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85201561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111580 + ... + 112340.

It is an arithmetic number, because the mean of its divisors is an integer number (2897505).

Almost surely, 2^85201560 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 85201560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139080240).

85201560 is an abundant number, since it is smaller than the sum of its proper divisors (192958920).

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

85201560 is a wasteful number, since it uses less digits than its factorization.

85201560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 85201560 is about 9230.4691105057. The cubic root of 85201560 is about 440.0302320825.

The spelling of 85201560 in words is "eighty-five million, two hundred one thousand, five hundred sixty".