706581120 has 256 divisors, whose sum is σ = 2710425600. Its totient is φ = 152948736.

The previous prime is 706581097. The next prime is 706581157. The reversal of 706581120 is 21185607.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 253977 + ... + 256743.

It is an arithmetic number, because the mean of its divisors is an integer number (10587600).

Almost surely, 2^706581120 is an apocalyptic number.

706581120 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 706581120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355212800).

706581120 is an abundant number, since it is smaller than the sum of its proper divisors (2003844480).

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

706581120 is a wasteful number, since it uses less digits than its factorization.

706581120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2815 (or 2803 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 706581120 is about 26581.5936316843. The cubic root of 706581120 is about 890.6778995480.

The spelling of 706581120 in words is "seven hundred six million, five hundred eighty-one thousand, one hundred twenty".