853368000 has 336 divisors, whose sum is σ = 2990344032. Its totient is φ = 214272000.

The previous prime is 853367971. The next prime is 853368013. The reversal of 853368000 is 863358.

853368000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23063982 + ... + 23064018.

Almost surely, 2^853368000 is an apocalyptic number.

853368000 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 853368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495172016).

853368000 is an abundant number, since it is smaller than the sum of its proper divisors (2136976032).

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

853368000 is a wasteful number, since it uses less digits than its factorization.

853368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 853368000 is about 29212.4630936866. The cubic root of 853368000 is about 948.5177253604.

The spelling of 853368000 in words is "eight hundred fifty-three million, three hundred sixty-eight thousand".