858006864 has 640 divisors, whose sum is σ = 3299788800. Its totient is φ = 209018880.

The previous prime is 858006839. The next prime is 858006899. The reversal of 858006864 is 468600858.

858006864 is a `hidden beast` number, since 8 + 580 + 0 + 6 + 8 + 64 = 666.

It is a super-2 number, since 2×858006864² = 1472351557342228992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19953627 + ... + 19953669.

It is an arithmetic number, because the mean of its divisors is an integer number (5155920).

Almost surely, 2^858006864 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 858006864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649894400).

858006864 is an abundant number, since it is smaller than the sum of its proper divisors (2441781936).

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

858006864 is a wasteful number, since it uses less digits than its factorization.

858006864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 108 counting only the distinct ones).

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

The square root of 858006864 is about 29291.7541980674. The cubic root of 858006864 is about 950.2333181314.

The spelling of 858006864 in words is "eight hundred fifty-eight million, six thousand, eight hundred sixty-four".