705065364 has 96 divisors (see below), whose sum is σ = 1898265600. Its totient is φ = 226074240.

The previous prime is 705065363. The next prime is 705065369. The reversal of 705065364 is 463560507.

705065364 is a `hidden beast` number, since 70 + 50 + 6 + 536 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705065363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 659022 + ... + 660090.

It is an arithmetic number, because the mean of its divisors is an integer number (19773600).

Almost surely, 2^705065364 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 705065364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949132800).

705065364 is an abundant number, since it is smaller than the sum of its proper divisors (1193200236).

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

705065364 is a wasteful number, since it uses less digits than its factorization.

705065364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 705065364 is about 26553.0669415041. The cubic root of 705065364 is about 890.0405502713.

The spelling of 705065364 in words is "seven hundred five million, sixty-five thousand, three hundred sixty-four".