705620016 has 90 divisors (see below), whose sum is σ = 2040912900. Its totient is φ = 227574720.

The previous prime is 705619987. The next prime is 705620053. The reversal of 705620016 is 610026507.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 135835 + ... + 140933.

It is an arithmetic number, because the mean of its divisors is an integer number (22676810).

Almost surely, 2^705620016 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 705620016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020456450).

705620016 is an abundant number, since it is smaller than the sum of its proper divisors (1335292884).

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

705620016 is a wasteful number, since it uses less digits than its factorization.

705620016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5175 (or 5135 counting only the distinct ones).

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

The square root of 705620016 is about 26563.5091055380. The cubic root of 705620016 is about 890.2738777534.

It can be divided in two parts, 7056 and 20016, that added together give a palindrome (27072).

The spelling of 705620016 in words is "seven hundred five million, six hundred twenty thousand, sixteen".