85864860 has 60 divisors (see below), whose sum is σ = 269366328. Its totient is φ = 22896864.

The previous prime is 85864843. The next prime is 85864861. The reversal of 85864860 is 6846858.

85864860 is a `hidden beast` number, since 8 + 586 + 4 + 8 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85864861) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 24882 + ... + 28121.

Almost surely, 2^85864860 is an apocalyptic number.

It is an amenable number.

85864860 is an abundant number, since it is smaller than the sum of its proper divisors (183501468).

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

85864860 is a wasteful number, since it uses less digits than its factorization.

85864860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53024 (or 53013 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 85864860 is about 9266.3293703602. The cubic root of 85864860 is about 441.1691701380.

The spelling of 85864860 in words is "eighty-five million, eight hundred sixty-four thousand, eight hundred sixty".