855083520 has 320 divisors, whose sum is σ = 3093552000. Its totient is φ = 223838208.

The previous prime is 855083441. The next prime is 855083521. The reversal of 855083520 is 25380558.

855083520 is a `hidden beast` number, since 8 + 5 + 50 + 83 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (855083521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6151611 + ... + 6151749.

It is an arithmetic number, because the mean of its divisors is an integer number (9667350).

Almost surely, 2^855083520 is an apocalyptic number.

855083520 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 855083520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546776000).

855083520 is an abundant number, since it is smaller than the sum of its proper divisors (2238468480).

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

855083520 is a wasteful number, since it uses less digits than its factorization.

855083520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 855083520 is about 29241.8111614175. The cubic root of 855083520 is about 949.1528995410.

The spelling of 855083520 in words is "eight hundred fifty-five million, eighty-three thousand, five hundred twenty".