705985920 has 288 divisors, whose sum is σ = 2579176080. Its totient is φ = 177610752.

The previous prime is 705985871. The next prime is 705985921. The reversal of 705985920 is 29589507.

It is a happy number.

705985920 is a `hidden beast` number, since 7 + 0 + 59 + 8 + 592 + 0 = 666.

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

It is a super-2 number, since 2×705985920² = 996832238476492800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705985921) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9671004 + ... + 9671076.

Almost surely, 2^705985920 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 705985920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289588040).

705985920 is an abundant number, since it is smaller than the sum of its proper divisors (1873190160).

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

705985920 is a wasteful number, since it uses less digits than its factorization.

705985920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 705985920 is about 26570.3955559566. The cubic root of 705985920 is about 890.4277369951.

The spelling of 705985920 in words is "seven hundred five million, nine hundred eighty-five thousand, nine hundred twenty".