705627832 has 128 divisors (see below), whose sum is σ = 1685376000. Its totient is φ = 275184000.

The previous prime is 705627827. The next prime is 705627841. The reversal of 705627832 is 238726507.

It is a congruent number.

It is an unprimeable number.

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, 4672957 + ... + 4673107.

It is an arithmetic number, because the mean of its divisors is an integer number (13167000).

Almost surely, 2^705627832 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 705627832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842688000).

705627832 is an abundant number, since it is smaller than the sum of its proper divisors (979748168).

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

705627832 is a wasteful number, since it uses less digits than its factorization.

705627832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 705627832 is about 26563.6562242474. The cubic root of 705627832 is about 890.2771648648.

The spelling of 705627832 in words is "seven hundred five million, six hundred twenty-seven thousand, eight hundred thirty-two".