705105016 has 64 divisors (see below), whose sum is σ = 1661460480. Its totient is φ = 272522880.

The previous prime is 705104999. The next prime is 705105019. The reversal of 705105016 is 610501507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705105019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73726 + ... + 82738.

It is an arithmetic number, because the mean of its divisors is an integer number (25960320).

Almost surely, 2^705105016 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 705105016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830730240).

705105016 is an abundant number, since it is smaller than the sum of its proper divisors (956355464).

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

705105016 is a wasteful number, since it uses less digits than its factorization.

705105016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9164 (or 9160 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 25.

The square root of 705105016 is about 26553.8135867525. The cubic root of 705105016 is about 890.0572348834.

The spelling of 705105016 in words is "seven hundred five million, one hundred five thousand, sixteen".