706144896 has 192 divisors, whose sum is σ = 2195856000. Its totient is φ = 217147392.

The previous prime is 706144891. The next prime is 706144903. The reversal of 706144896 is 698441607.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×706144896² = 997281228293701632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (706144891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 767925 + ... + 768843.

It is an arithmetic number, because the mean of its divisors is an integer number (11436750).

Almost surely, 2^706144896 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 706144896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097928000).

706144896 is an abundant number, since it is smaller than the sum of its proper divisors (1489711104).

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

706144896 is a wasteful number, since it uses less digits than its factorization.

706144896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 706144896 is about 26573.3869877364. The cubic root of 706144896 is about 890.4945683637.

The spelling of 706144896 in words is "seven hundred six million, one hundred forty-four thousand, eight hundred ninety-six".