706528224 has 192 divisors, whose sum is σ = 2190182400. Its totient is φ = 220962816.

The previous prime is 706528201. The next prime is 706528241. The reversal of 706528224 is 422825607.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3168177 + ... + 3168399.

It is an arithmetic number, because the mean of its divisors is an integer number (11407200).

Almost surely, 2^706528224 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 706528224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095091200).

706528224 is an abundant number, since it is smaller than the sum of its proper divisors (1483654176).

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

706528224 is a wasteful number, since it uses less digits than its factorization.

706528224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 706528224 is about 26580.5986388569. The cubic root of 706528224 is about 890.6556730489.

The spelling of 706528224 in words is "seven hundred six million, five hundred twenty-eight thousand, two hundred twenty-four".