830242160 has 80 divisors (see below), whose sum is σ = 2178476640. Its totient is φ = 291486720.

The previous prime is 830242123. The next prime is 830242177. The reversal of 830242160 is 61242038.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9254 + ... + 41786.

It is an arithmetic number, because the mean of its divisors is an integer number (27230958).

Almost surely, 2^830242160 is an apocalyptic number.

830242160 is a gapful number since it is divisible by the number (80) 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 830242160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089238320).

830242160 is an abundant number, since it is smaller than the sum of its proper divisors (1348234480).

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

830242160 is a wasteful number, since it uses less digits than its factorization.

830242160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32586 (or 32580 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 830242160 is about 28813.9230234274. The cubic root of 830242160 is about 939.8710250086.

Adding to 830242160 its reverse (61242038), we get a palindrome (891484198).

It can be divided in two parts, 83024 and 2160, that added together give a cube (85184 = 44³).

The spelling of 830242160 in words is "eight hundred thirty million, two hundred forty-two thousand, one hundred sixty".