705060664 has 128 divisors (see below), whose sum is σ = 1754265600. Its totient is φ = 257351040.

The previous prime is 705060649. The next prime is 705060709. The reversal of 705060664 is 466060507.

It is a super-2 number, since 2×705060664² = 994221079840241792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1252047 + ... + 1252609.

It is an arithmetic number, because the mean of its divisors is an integer number (13705200).

Almost surely, 2^705060664 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 705060664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877132800).

705060664 is an abundant number, since it is smaller than the sum of its proper divisors (1049204936).

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

705060664 is a wasteful number, since it uses less digits than its factorization.

705060664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 705060664 is about 26552.9784393390. The cubic root of 705060664 is about 890.0385725823.

The spelling of 705060664 in words is "seven hundred five million, sixty thousand, six hundred sixty-four".