858654864 has 160 divisors (see below), whose sum is σ = 2574279680. Its totient is φ = 273715200.

The previous prime is 858654857. The next prime is 858654869. The reversal of 858654864 is 468456858.

858654864 is a `hidden beast` number, since 8 + 586 + 54 + 8 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 858654864.

It is not an unprimeable number, because it can be changed into a prime (858654869) by changing a digit.

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, 1298694 + ... + 1299354.

It is an arithmetic number, because the mean of its divisors is an integer number (16089248).

Almost surely, 2^858654864 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 858654864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287139840).

858654864 is an abundant number, since it is smaller than the sum of its proper divisors (1715624816).

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

858654864 is a wasteful number, since it uses less digits than its factorization.

858654864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 794 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 54.

The square root of 858654864 is about 29302.8132437826. The cubic root of 858654864 is about 950.4724755974.

The spelling of 858654864 in words is "eight hundred fifty-eight million, six hundred fifty-four thousand, eight hundred sixty-four".