705602016 has 336 divisors, whose sum is σ = 2478924000. Its totient is φ = 193342464.

The previous prime is 705602003. The next prime is 705602041. The reversal of 705602016 is 610206507.

705602016 is a `hidden beast` number, since 70 + 560 + 20 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4735510 + ... + 4735658.

It is an arithmetic number, because the mean of its divisors is an integer number (7377750).

Almost surely, 2^705602016 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 705602016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239462000).

705602016 is an abundant number, since it is smaller than the sum of its proper divisors (1773321984).

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

705602016 is a wasteful number, since it uses less digits than its factorization.

705602016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 190 counting only the distinct ones).

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

The square root of 705602016 is about 26563.1702927192. The cubic root of 705602016 is about 890.2663075477.

The spelling of 705602016 in words is "seven hundred five million, six hundred two thousand, sixteen".