706969120 has 216 divisors, whose sum is σ = 2015082468. Its totient is φ = 232826880.

The previous prime is 706969111. The next prime is 706969129. The reversal of 706969120 is 21969607.

It is an interprime number because it is at equal distance from previous prime (706969111) and next prime (706969129).

It can be written as a sum of positive squares in 6 ways, for example, as 327031056 + 379938064 = 18084^2 + 19492^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (706969129) 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 35 ways as a sum of consecutive naturals, for example, 13339014 + ... + 13339066.

Almost surely, 2^706969120 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 706969120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007541234).

706969120 is an abundant number, since it is smaller than the sum of its proper divisors (1308113348).

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

706969120 is a wasteful number, since it uses less digits than its factorization.

706969120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 40.

The square root of 706969120 is about 26588.8909133119. The cubic root of 706969120 is about 890.8409003126.

The spelling of 706969120 in words is "seven hundred six million, nine hundred sixty-nine thousand, one hundred twenty".