705217264 has 40 divisors (see below), whose sum is σ = 1413659520. Its totient is φ = 340454400.

The previous prime is 705217231. The next prime is 705217297. The reversal of 705217264 is 462712507.

It is an interprime number because it is at equal distance from previous prime (705217231) and next prime (705217297).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 257052 + ... + 259780.

It is an arithmetic number, because the mean of its divisors is an integer number (35341488).

Almost surely, 2^705217264 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 705217264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706829760).

705217264 is an abundant number, since it is smaller than the sum of its proper divisors (708442256).

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

705217264 is a wasteful number, since it uses less digits than its factorization.

705217264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3289 (or 3283 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 705217264 is about 26555.9270973544. The cubic root of 705217264 is about 890.1044627625.

The spelling of 705217264 in words is "seven hundred five million, two hundred seventeen thousand, two hundred sixty-four".