706975560 has 256 divisors, whose sum is σ = 2509056000. Its totient is φ = 176567040.

The previous prime is 706975537. The next prime is 706975561. The reversal of 706975560 is 65579607.

It is a happy number.

706975560 is a `hidden beast` number, since 7 + 0 + 6 + 97 + 556 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (706975561) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2687989 + ... + 2688251.

It is an arithmetic number, because the mean of its divisors is an integer number (9801000).

Almost surely, 2^706975560 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 706975560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254528000).

706975560 is an abundant number, since it is smaller than the sum of its proper divisors (1802080440).

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

706975560 is a wasteful number, since it uses less digits than its factorization.

706975560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 706975560 is about 26589.0120162446. The cubic root of 706975560 is about 890.8436052860.

The spelling of 706975560 in words is "seven hundred six million, nine hundred seventy-five thousand, five hundred sixty".