705364992 has 66 divisors (see below), whose sum is σ = 2036752718. Its totient is φ = 235118592.

The previous prime is 705364973. The next prime is 705364993. The reversal of 705364992 is 299463507.

It is a happy number.

705364992 is a `hidden beast` number, since 70 + 536 + 49 + 9 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 702038016 + 3326976 = 26496^2 + 1824^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705364993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29053 + ... + 47484.

Almost surely, 2^705364992 is an apocalyptic number.

705364992 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

705364992 is an abundant number, since it is smaller than the sum of its proper divisors (1331387726).

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

705364992 is a wasteful number, since it uses less digits than its factorization.

705364992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76563 (or 76542 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 705364992 is about 26558.7084023301. The cubic root of 705364992 is about 890.1666110669.

The spelling of 705364992 in words is "seven hundred five million, three hundred sixty-four thousand, nine hundred ninety-two".