85566360 has 192 divisors, whose sum is σ = 289578240. Its totient is φ = 20204800.

The previous prime is 85566337. The next prime is 85566373. The reversal of 85566360 is 6366558.

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is a congruent number.

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, 1030879 + ... + 1030961.

It is an arithmetic number, because the mean of its divisors is an integer number (1508220).

Almost surely, 2^85566360 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 85566360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144789120).

85566360 is an abundant number, since it is smaller than the sum of its proper divisors (204011880).

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

85566360 is a wasteful number, since it uses less digits than its factorization.

85566360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 85566360 is about 9250.2086462955. The cubic root of 85566360 is about 440.6573507760.

The spelling of 85566360 in words is "eighty-five million, five hundred sixty-six thousand, three hundred sixty".