854526816 has 144 divisors (see below), whose sum is σ = 2855034000. Its totient is φ = 239016960.

The previous prime is 854526793. The next prime is 854526839. The reversal of 854526816 is 618625458.

854526816 is a `hidden beast` number, since 8 + 545 + 26 + 81 + 6 = 666.

854526816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (854526793) and next prime (854526839).

It is a tau number, because it is divible by the number of its divisors (144).

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, 30810 + ... + 51558.

It is an arithmetic number, because the mean of its divisors is an integer number (19826625).

Almost surely, 2^854526816 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 854526816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427517000).

854526816 is an abundant number, since it is smaller than the sum of its proper divisors (2000507184).

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

854526816 is a wasteful number, since it uses less digits than its factorization.

854526816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20789 (or 20778 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 854526816 is about 29232.2906389493. The cubic root of 854526816 is about 948.9468721311.

The spelling of 854526816 in words is "eight hundred fifty-four million, five hundred twenty-six thousand, eight hundred sixteen".