854164080 has 720 divisors, whose sum is σ = 3810613248. Its totient is φ = 169344000.

The previous prime is 854164079. The next prime is 854164093. The reversal of 854164080 is 80461458.

854164080 is a `hidden beast` number, since 8 + 5 + 4 + 1 + 640 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 12030445 + ... + 12030515.

Almost surely, 2^854164080 is an apocalyptic number.

854164080 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 854164080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905306624).

854164080 is an abundant number, since it is smaller than the sum of its proper divisors (2956449168).

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

854164080 is a wasteful number, since it uses less digits than its factorization.

854164080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 854164080 is about 29226.0856085792. The cubic root of 854164080 is about 948.8125810813.

The spelling of 854164080 in words is "eight hundred fifty-four million, one hundred sixty-four thousand, eighty".