705164130 has 384 divisors, whose sum is σ = 2294562816. Its totient is φ = 153964800.

The previous prime is 705164039. The next prime is 705164137. The reversal of 705164130 is 31461507.

705164130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 705164094 and 705164103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705164137) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19058472 + ... + 19058508.

It is an arithmetic number, because the mean of its divisors is an integer number (5975424).

Almost surely, 2^705164130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 705164130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147281408).

705164130 is an abundant number, since it is smaller than the sum of its proper divisors (1589398686).

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

705164130 is a wasteful number, since it uses less digits than its factorization.

705164130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 705164130 is about 26554.9266615444. The cubic root of 705164130 is about 890.0821074777.

The spelling of 705164130 in words is "seven hundred five million, one hundred sixty-four thousand, one hundred thirty".