854275968 has 384 divisors, whose sum is σ = 3141028800. Its totient is φ = 216760320.

The previous prime is 854275963. The next prime is 854275973. The reversal of 854275968 is 869572458.

854275968 is a `hidden beast` number, since 8 + 5 + 42 + 7 + 596 + 8 = 666.

854275968 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 (854275963) and next prime (854275973).

It is a tau number, because it is divible by the number of its divisors (384).

Its product of digits (4838400) is a multiple of the sum of its prime factors (350).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (854275963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3039988 + ... + 3040268.

Almost surely, 2^854275968 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 854275968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570514400).

854275968 is an abundant number, since it is smaller than the sum of its proper divisors (2286752832).

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

854275968 is a wasteful number, since it uses less digits than its factorization.

854275968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 335 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The square root of 854275968 is about 29227.9997262899. Note that the first 3 decimals coincide. The cubic root of 854275968 is about 948.8540079803.

The spelling of 854275968 in words is "eight hundred fifty-four million, two hundred seventy-five thousand, nine hundred sixty-eight".