854994816 has 192 divisors, whose sum is σ = 2722967520. Its totient is φ = 255799296.

The previous prime is 854994797. The next prime is 854994823. The reversal of 854994816 is 618499458.

854994816 is a `hidden beast` number, since 8 + 549 + 94 + 8 + 1 + 6 = 666.

854994816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×854994816² = 1462032270773747712, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 553341 + ... + 554883.

Almost surely, 2^854994816 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 854994816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361483760).

854994816 is an abundant number, since it is smaller than the sum of its proper divisors (1867972704).

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

854994816 is a wasteful number, since it uses less digits than its factorization.

854994816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613 (or 1598 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The square root of 854994816 is about 29240.2943897629. The cubic root of 854994816 is about 949.1200775735.

The spelling of 854994816 in words is "eight hundred fifty-four million, nine hundred ninety-four thousand, eight hundred sixteen".