854520960 has 256 divisors, whose sum is σ = 2864160000. Its totient is φ = 216416256.

The previous prime is 854520949. The next prime is 854520971. The reversal of 854520960 is 69025458.

854520960 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 (854520949) and next prime (854520971).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 5734966 + ... + 5735114.

It is an arithmetic number, because the mean of its divisors is an integer number (11188125).

Almost surely, 2^854520960 is an apocalyptic number.

854520960 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 854520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432080000).

854520960 is an abundant number, since it is smaller than the sum of its proper divisors (2009639040).

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

854520960 is a wasteful number, since it uses less digits than its factorization.

854520960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 854520960 is about 29232.1904755699. The cubic root of 854520960 is about 948.9447044419.

The spelling of 854520960 in words is "eight hundred fifty-four million, five hundred twenty thousand, nine hundred sixty".