706300560 has 400 divisors, whose sum is σ = 2929741056. Its totient is φ = 154192896.

The previous prime is 706300519. The next prime is 706300577. The reversal of 706300560 is 65003607.

706300560 is a `hidden beast` number, since 70 + 6 + 30 + 0 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 1042942 + ... + 1043618.

Almost surely, 2^706300560 is an apocalyptic number.

706300560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 706300560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464870528).

706300560 is an abundant number, since it is smaller than the sum of its proper divisors (2223440496).

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

706300560 is a wasteful number, since it uses less digits than its factorization.

706300560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 706300560 is about 26576.3157717544. The cubic root of 706300560 is about 890.5599976936.

The spelling of 706300560 in words is "seven hundred six million, three hundred thousand, five hundred sixty".