854919072 has 216 divisors, whose sum is σ = 2927024100. Its totient is φ = 235726848.

The previous prime is 854919061. The next prime is 854919073. The reversal of 854919072 is 270919458.

854919072 is a `hidden beast` number, since 8 + 5 + 491 + 90 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 810882576 + 44036496 = 28476^2 + 6636^2 .

It is not an unprimeable number, because it can be changed into a prime (854919073) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 408204 + ... + 410292.

Almost surely, 2^854919072 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 854919072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463512050).

854919072 is an abundant number, since it is smaller than the sum of its proper divisors (2072105028).

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

854919072 is a wasteful number, since it uses less digits than its factorization.

854919072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 854919072 is about 29238.9991620780. Note that the first 3 decimals coincide. The cubic root of 854919072 is about 949.0920492265.

The spelling of 854919072 in words is "eight hundred fifty-four million, nine hundred nineteen thousand, seventy-two".