706048992 has 288 divisors, whose sum is σ = 2303997696. Its totient is φ = 203212800.

The previous prime is 706048979. The next prime is 706048999. The reversal of 706048992 is 299840607.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (706048999) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9671868 + ... + 9671940.

It is an arithmetic number, because the mean of its divisors is an integer number (7999992).

Almost surely, 2^706048992 is an apocalyptic number.

706048992 is a gapful number since it is divisible by the number (72) 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 706048992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151998848).

706048992 is an abundant number, since it is smaller than the sum of its proper divisors (1597948704).

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

706048992 is a wasteful number, since it uses less digits than its factorization.

706048992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 706048992 is about 26571.5824143012. The cubic root of 706048992 is about 890.4542528147.

The spelling of 706048992 in words is "seven hundred six million, forty-eight thousand, nine hundred ninety-two".