858144768 has 240 divisors, whose sum is σ = 2642330880. Its totient is φ = 245366784.

The previous prime is 858144761. The next prime is 858144769. The reversal of 858144768 is 867441858.

It is a Harshad number since it is a multiple of its sum of digits (51).

Its product of digits (1720320) is a multiple of the sum of its prime factors (140).

It is a self number, because there is not a number n which added to its sum of digits gives 858144768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (858144761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10862553 + ... + 10862631.

It is an arithmetic number, because the mean of its divisors is an integer number (11009712).

Almost surely, 2^858144768 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 858144768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321165440).

858144768 is an abundant number, since it is smaller than the sum of its proper divisors (1784186112).

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

858144768 is a wasteful number, since it uses less digits than its factorization.

858144768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 114 counting only the distinct ones).

The product of its digits is 1720320, while the sum is 51.

The square root of 858144768 is about 29294.1080765399. The cubic root of 858144768 is about 950.2842244668.

The spelling of 858144768 in words is "eight hundred fifty-eight million, one hundred forty-four thousand, seven hundred sixty-eight".