705967968 has 48 divisors (see below), whose sum is σ = 1854676656. Its totient is φ = 235130880.

The previous prime is 705967961. The next prime is 705968033. The reversal of 705967968 is 869769507.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705967961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163080 + ... + 167352.

It is an arithmetic number, because the mean of its divisors is an integer number (38639097).

Almost surely, 2^705967968 is an apocalyptic number.

It is an amenable number.

705967968 is an abundant number, since it is smaller than the sum of its proper divisors (1148708688).

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

705967968 is a wasteful number, since it uses less digits than its factorization.

705967968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6007 (or 5999 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 57.

The square root of 705967968 is about 26570.0577342241. The cubic root of 705967968 is about 890.4201895857.

The spelling of 705967968 in words is "seven hundred five million, nine hundred sixty-seven thousand, nine hundred sixty-eight".