854328960 has 192 divisors, whose sum is σ = 2987318880. Its totient is φ = 224950272.

The previous prime is 854328953. The next prime is 854329061. The reversal of 854328960 is 69823458.

854328960 is a `hidden beast` number, since 85 + 432 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 477187 + ... + 478973.

Almost surely, 2^854328960 is an apocalyptic number.

854328960 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 854328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493659440).

854328960 is an abundant number, since it is smaller than the sum of its proper divisors (2132989920).

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

854328960 is a wasteful number, since it uses less digits than its factorization.

854328960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1895 (or 1880 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 854328960 is about 29228.9062402273. The cubic root of 854328960 is about 948.8736271798.

The spelling of 854328960 in words is "eight hundred fifty-four million, three hundred twenty-eight thousand, nine hundred sixty".