854528160 has 192 divisors, whose sum is σ = 2766234240. Its totient is φ = 221675520.

The previous prime is 854528153. The next prime is 854528161. The reversal of 854528160 is 61825458.

It is not an unprimeable number, because it can be changed into a prime (854528161) 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 31 ways as a sum of consecutive naturals, for example, 3545640 + ... + 3545880.

It is an arithmetic number, because the mean of its divisors is an integer number (14407470).

Almost surely, 2^854528160 is an apocalyptic number.

854528160 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 854528160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383117120).

854528160 is an abundant number, since it is smaller than the sum of its proper divisors (1911706080).

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

854528160 is a wasteful number, since it uses less digits than its factorization.

854528160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The square root of 854528160 is about 29232.3136272174. The cubic root of 854528160 is about 948.9473696321.

The spelling of 854528160 in words is "eight hundred fifty-four million, five hundred twenty-eight thousand, one hundred sixty".