855829632 has 256 divisors, whose sum is σ = 2757427200. Its totient is φ = 229920768.

The previous prime is 855829631. The next prime is 855829649. The reversal of 855829632 is 236928558.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (855829631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6738753 + ... + 6738879.

It is an arithmetic number, because the mean of its divisors is an integer number (10771200).

Almost surely, 2^855829632 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 855829632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378713600).

855829632 is an abundant number, since it is smaller than the sum of its proper divisors (1901597568).

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

855829632 is a wasteful number, since it uses less digits than its factorization.

855829632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 271 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 48.

The square root of 855829632 is about 29254.5660025918. The cubic root of 855829632 is about 949.4288836901.

The spelling of 855829632 in words is "eight hundred fifty-five million, eight hundred twenty-nine thousand, six hundred thirty-two".