858068640 has 480 divisors, whose sum is σ = 3565368576. Its totient is φ = 191600640.

The previous prime is 858068599. The next prime is 858068663. The reversal of 858068640 is 46860858.

858068640 is a `hidden beast` number, since 8 + 580 + 6 + 8 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1853049 + ... + 1853511.

Almost surely, 2^858068640 is an apocalyptic number.

858068640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 858068640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782684288).

858068640 is an abundant number, since it is smaller than the sum of its proper divisors (2707299936).

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

858068640 is a wasteful number, since it uses less digits than its factorization.

858068640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 497 counting only the distinct ones).

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

The square root of 858068640 is about 29292.8086738025. The cubic root of 858068640 is about 950.2561230013.

The spelling of 858068640 in words is "eight hundred fifty-eight million, sixty-eight thousand, six hundred forty".