706624560 has 240 divisors, whose sum is σ = 2487174144. Its totient is φ = 186437376.

The previous prime is 706624559. The next prime is 706624579. The reversal of 706624560 is 65426607.

706624560 is a `hidden beast` number, since 70 + 6 + 6 + 24 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

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 47 ways as a sum of consecutive naturals, for example, 3168609 + ... + 3168831.

Almost surely, 2^706624560 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 706624560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243587072).

706624560 is an abundant number, since it is smaller than the sum of its proper divisors (1780549584).

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

706624560 is a wasteful number, since it uses less digits than its factorization.

706624560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 706624560 is about 26582.4107258917. The cubic root of 706624560 is about 890.6961518779.

It can be divided in two parts, 7066 and 24560, that added together give a triangular number (31626 = T₂₅₁).

The spelling of 706624560 in words is "seven hundred six million, six hundred twenty-four thousand, five hundred sixty".