830170016 has 48 divisors (see below), whose sum is σ = 1784296584. Its totient is φ = 377892864.

The previous prime is 830170013. The next prime is 830170043. The reversal of 830170016 is 610071038.

830170016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 762864400 + 67305616 = 27620^2 + 8204^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (830170013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16700 + ... + 44036.

Almost surely, 2^830170016 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 830170016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892148292).

830170016 is an abundant number, since it is smaller than the sum of its proper divisors (954126568).

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

830170016 is a wasteful number, since it uses less digits than its factorization.

830170016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27433 (or 27425 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 830170016 is about 28812.6711014442. The cubic root of 830170016 is about 939.8438008152.

The spelling of 830170016 in words is "eight hundred thirty million, one hundred seventy thousand, sixteen".