706867560 has 224 divisors, whose sum is σ = 2726029440. Its totient is φ = 161523072.

The previous prime is 706867523. The next prime is 706867597. The reversal of 706867560 is 65768607.

706867560 is a `hidden beast` number, since 7 + 0 + 6 + 86 + 7 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (706867523) and next prime (706867597).

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

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 55 ways as a sum of consecutive naturals, for example, 202389 + ... + 205851.

Almost surely, 2^706867560 is an apocalyptic number.

706867560 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 706867560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363014720).

706867560 is an abundant number, since it is smaller than the sum of its proper divisors (2019161880).

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

706867560 is a wasteful number, since it uses less digits than its factorization.

706867560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3499 (or 3480 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 706867560 is about 26586.9810245541. The cubic root of 706867560 is about 890.7982402058.

The spelling of 706867560 in words is "seven hundred six million, eight hundred sixty-seven thousand, five hundred sixty".