830169648 has 480 divisors, whose sum is σ = 3119800320. Its totient is φ = 207463680.

The previous prime is 830169647. The next prime is 830169733. The reversal of 830169648 is 846961038.

It is not an unprimeable number, because it can be changed into a prime (830169647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14070643 + ... + 14070701.

It is an arithmetic number, because the mean of its divisors is an integer number (6499584).

Almost surely, 2^830169648 is an apocalyptic number.

830169648 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830169648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559900160).

830169648 is an abundant number, since it is smaller than the sum of its proper divisors (2289630672).

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

830169648 is a wasteful number, since it uses less digits than its factorization.

830169648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 830169648 is about 28812.6647153643. The cubic root of 830169648 is about 939.8436619430.

The spelling of 830169648 in words is "eight hundred thirty million, one hundred sixty-nine thousand, six hundred forty-eight".