705308652 has 216 divisors, whose sum is σ = 2060276400. Its totient is φ = 202487040.

The previous prime is 705308651. The next prime is 705308663. The reversal of 705308652 is 256803507.

705308652 is a `hidden beast` number, since 70 + 530 + 8 + 6 + 52 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (705308651) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19062378 + ... + 19062414.

Almost surely, 2^705308652 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 705308652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030138200).

705308652 is an abundant number, since it is smaller than the sum of its proper divisors (1354967748).

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

705308652 is a wasteful number, since it uses less digits than its factorization.

705308652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 705308652 is about 26557.6477120998. The cubic root of 705308652 is about 890.1429101826.

The spelling of 705308652 in words is "seven hundred five million, three hundred eight thousand, six hundred fifty-two".