705995676 has 84 divisors (see below), whose sum is σ = 1875351912. Its totient is φ = 232416864.

The previous prime is 705995659. The next prime is 705995677. The reversal of 705995676 is 676599507.

705995676 is a `hidden beast` number, since 70 + 5 + 9 + 9 + 567 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705995677) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 240570 + ... + 243486.

It is an arithmetic number, because the mean of its divisors is an integer number (22325618).

Almost surely, 2^705995676 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 705995676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937675956).

705995676 is an abundant number, since it is smaller than the sum of its proper divisors (1169356236).

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

705995676 is a wasteful number, since it uses less digits than its factorization.

705995676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3022 (or 3005 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 54.

The square root of 705995676 is about 26570.5791431049. The cubic root of 705995676 is about 890.4318385750.

The spelling of 705995676 in words is "seven hundred five million, nine hundred ninety-five thousand, six hundred seventy-six".