705955040 has 96 divisors (see below), whose sum is σ = 1946778624. Its totient is φ = 236874240.

The previous prime is 705955009. The next prime is 705955069. The reversal of 705955040 is 40559507.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45935 + ... + 59345.

It is an arithmetic number, because the mean of its divisors is an integer number (20278944).

Almost surely, 2^705955040 is an apocalyptic number.

705955040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 705955040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973389312).

705955040 is an abundant number, since it is smaller than the sum of its proper divisors (1240823584).

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

705955040 is a wasteful number, since it uses less digits than its factorization.

705955040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13480 (or 13472 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 35.

The square root of 705955040 is about 26569.8144517420. The cubic root of 705955040 is about 890.4147542954.

The spelling of 705955040 in words is "seven hundred five million, nine hundred fifty-five thousand, forty".