858638880 has 480 divisors, whose sum is σ = 3490724160. Its totient is φ = 196577280.

The previous prime is 858638863. The next prime is 858638887. The reversal of 858638880 is 88836858.

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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (858638887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2708482 + ... + 2708798.

It is an arithmetic number, because the mean of its divisors is an integer number (7272342).

Almost surely, 2^858638880 is an apocalyptic number.

858638880 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 858638880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745362080).

858638880 is an abundant number, since it is smaller than the sum of its proper divisors (2632085280).

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

858638880 is a wasteful number, since it uses less digits than its factorization.

858638880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The square root of 858638880 is about 29302.5405041952. The cubic root of 858638880 is about 950.4665778275.

The spelling of 858638880 in words is "eight hundred fifty-eight million, six hundred thirty-eight thousand, eight hundred eighty".