706632864 has 192 divisors, whose sum is σ = 2235340800. Its totient is φ = 191093760.

The previous prime is 706632851. The next prime is 706632907. The reversal of 706632864 is 468236607.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 2024562 + ... + 2024910.

It is an arithmetic number, because the mean of its divisors is an integer number (11642400).

Almost surely, 2^706632864 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 706632864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117670400).

706632864 is an abundant number, since it is smaller than the sum of its proper divisors (1528707936).

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

706632864 is a wasteful number, since it uses less digits than its factorization.

706632864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 706632864 is about 26582.5669189414. The cubic root of 706632864 is about 890.6996409121.

The spelling of 706632864 in words is "seven hundred six million, six hundred thirty-two thousand, eight hundred sixty-four".