704175264 has 216 divisors, whose sum is σ = 2280381012. Its totient is φ = 204871680.

The previous prime is 704175257. The next prime is 704175289. The reversal of 704175264 is 462571407.

704175264 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 2 ways, for example, as 640494864 + 63680400 = 25308^2 + 7980^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1351324 + ... + 1351844.

Almost surely, 2^704175264 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 704175264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140190506).

704175264 is an abundant number, since it is smaller than the sum of its proper divisors (1576205748).

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

704175264 is a wasteful number, since it uses less digits than its factorization.

704175264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 704175264 is about 26536.3008725783. The cubic root of 704175264 is about 889.6658527628.

The spelling of 704175264 in words is "seven hundred four million, one hundred seventy-five thousand, two hundred sixty-four".