706624 has 28 divisors (see below), whose sum is σ = 1433068. Its totient is φ = 345600.

The previous prime is 706621. The next prime is 706631. The reversal of 706624 is 426607.

It can be written as a sum of positive squares in 2 ways, for example, as 14400 + 692224 = 120^2 + 832^2 .

It is not an unprimeable number, because it can be changed into a prime (706621) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3814 + ... + 3994.

It is an arithmetic number, because the mean of its divisors is an integer number (51181).

2⁷⁰⁶⁶²⁴ 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 706624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716534).

706624 is an abundant number, since it is smaller than the sum of its proper divisors (726444).

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

706624 is a wasteful number, since it uses less digits than its factorization.

706624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 706624 is about 840.6093028274. The cubic root of 706624 is about 89.0695916586.

The spelling of 706624 in words is "seven hundred six thousand, six hundred twenty-four".