701616032 has 48 divisors (see below), whose sum is σ = 1496313000. Its totient is φ = 321917952.

The previous prime is 701616029. The next prime is 701616037. The reversal of 701616032 is 230616107.

701616032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 512388496 + 189227536 = 22636^2 + 13756^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 701615992 and 701616010.

It is not an unprimeable number, because it can be changed into a prime (701616037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67094 + ... + 76842.

Almost surely, 2^701616032 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 701616032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748156500).

701616032 is an abundant number, since it is smaller than the sum of its proper divisors (794696968).

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

701616032 is a wasteful number, since it uses less digits than its factorization.

701616032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9945 (or 9937 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 701616032 is about 26488.0356387558. The cubic root of 701616032 is about 888.5867534076.

The spelling of 701616032 in words is "seven hundred one million, six hundred sixteen thousand, thirty-two".