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855996960 = 253571319597
BaseRepresentation
bin110011000001010…
…111101000100000
32012122201011002010
4303001113220200
53223113400320
6220534552520
730132565650
oct6301275040
92178634063
10855996960
113aa208205
121ba808740
1310845aaa0
1481984360
1550238ae0
hex33057a20

855996960 has 192 divisors, whose sum is σ = 3318803712. Its totient is φ = 180596736.

The previous prime is 855996959. The next prime is 855996991. The reversal of 855996960 is 69699558.

It is a self number, because there is not a number n which added to its sum of digits gives 855996960.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33882 + ... + 53478.

It is an arithmetic number, because the mean of its divisors is an integer number (17285436).

Almost surely, 2855996960 is an apocalyptic number.

855996960 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 855996960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659401856).

855996960 is an abundant number, since it is smaller than the sum of its proper divisors (2462806752).

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

855996960 is a wasteful number, since it uses less digits than its factorization.

855996960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19635 (or 19627 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 57.

The square root of 855996960 is about 29257.4257240790. The cubic root of 855996960 is about 949.4907556943.

The spelling of 855996960 in words is "eight hundred fifty-five million, nine hundred ninety-six thousand, nine hundred sixty".