705576032 has 96 divisors (see below), whose sum is σ = 1677957120. Its totient is φ = 285626880.

The previous prime is 705576019. The next prime is 705576073. The reversal of 705576032 is 230675507.

It is a junction number, because it is equal to n+sod(n) for n = 705575983 and 705576001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 304157 + ... + 306467.

It is an arithmetic number, because the mean of its divisors is an integer number (17478720).

Almost surely, 2^705576032 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 705576032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838978560).

705576032 is an abundant number, since it is smaller than the sum of its proper divisors (972381088).

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

705576032 is a wasteful number, since it uses less digits than its factorization.

705576032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2404 (or 2396 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 35.

The square root of 705576032 is about 26562.6811899703. The cubic root of 705576032 is about 890.2553793080.

The spelling of 705576032 in words is "seven hundred five million, five hundred seventy-six thousand, thirty-two".