706464 has 72 divisors (see below), whose sum is σ = 2201472. Its totient is φ = 213120.

The previous prime is 706463. The next prime is 706481. The reversal of 706464 is 464607.

It is a tau number, because it is divible by the number of its divisors (72).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 706464.

It is not an unprimeable number, because it can be changed into a prime (706463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3057 + ... + 3279.

It is an arithmetic number, because the mean of its divisors is an integer number (30576).

2⁷⁰⁶⁴⁶⁴ 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 706464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100736).

706464 is an abundant number, since it is smaller than the sum of its proper divisors (1495008).

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

706464 is a wasteful number, since it uses less digits than its factorization.

706464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 706464 is about 840.5141283762. The cubic root of 706464 is about 89.0628685119.

The spelling of 706464 in words is "seven hundred six thousand, four hundred sixty-four".