858536064 has 256 divisors, whose sum is σ = 2662934400. Its totient is φ = 272056320.

The previous prime is 858536059. The next prime is 858536083. The reversal of 858536064 is 460635858.

858536064 is a `hidden beast` number, since 8 + 58 + 536 + 0 + 64 = 666.

It is a super-2 number, since 2×858536064² = 1474168346377224192, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 10343767 + ... + 10343849.

Almost surely, 2^858536064 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 858536064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331467200).

858536064 is an abundant number, since it is smaller than the sum of its proper divisors (1804398336).

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

858536064 is a wasteful number, since it uses less digits than its factorization.

858536064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 858536064 is about 29300.7860645410. The cubic root of 858536064 is about 950.4286390717.

The spelling of 858536064 in words is "eight hundred fifty-eight million, five hundred thirty-six thousand, sixty-four".