706503816 has 128 divisors (see below), whose sum is σ = 2091398400. Its totient is φ = 220216320.

The previous prime is 706503797. The next prime is 706503817. The reversal of 706503816 is 618305607.

706503816 is a `hidden beast` number, since 70 + 6 + 503 + 81 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (706503817) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 664101 + ... + 665163.

It is an arithmetic number, because the mean of its divisors is an integer number (16339050).

Almost surely, 2^706503816 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 706503816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045699200).

706503816 is an abundant number, since it is smaller than the sum of its proper divisors (1384894584).

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

706503816 is a wasteful number, since it uses less digits than its factorization.

706503816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 706503816 is about 26580.1395030199. The cubic root of 706503816 is about 890.6454166178.

The spelling of 706503816 in words is "seven hundred six million, five hundred three thousand, eight hundred sixteen".