854275680 has 192 divisors, whose sum is σ = 3086899200. Its totient is φ = 220423680.

The previous prime is 854275657. The next prime is 854275703. The reversal of 854275680 is 86572458.

854275680 is a `hidden beast` number, since 85 + 4 + 2 + 7 + 568 + 0 = 666.

854275680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (854275657) and next prime (854275703).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130731 + ... + 137109.

It is an arithmetic number, because the mean of its divisors is an integer number (16077600).

Almost surely, 2^854275680 is an apocalyptic number.

854275680 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 854275680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543449600).

854275680 is an abundant number, since it is smaller than the sum of its proper divisors (2232623520).

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

854275680 is a wasteful number, since it uses less digits than its factorization.

854275680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6434 (or 6420 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 854275680 is about 29227.9947995069. The cubic root of 854275680 is about 948.8539013520.

The spelling of 854275680 in words is "eight hundred fifty-four million, two hundred seventy-five thousand, six hundred eighty".