830306160 has 160 divisors (see below), whose sum is σ = 2872584000. Its totient is φ = 220437504.

The previous prime is 830306149. The next prime is 830306167. The reversal of 830306160 is 61603038.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830306167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 580326 + ... + 581754.

It is an arithmetic number, because the mean of its divisors is an integer number (17953650).

Almost surely, 2^830306160 is an apocalyptic number.

830306160 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 830306160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436292000).

830306160 is an abundant number, since it is smaller than the sum of its proper divisors (2042277840).

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

830306160 is a wasteful number, since it uses less digits than its factorization.

830306160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 830306160 is about 28815.0335762428. The cubic root of 830306160 is about 939.8951746695.

Adding to 830306160 its reverse (61603038), we get a palindrome (891909198).

The spelling of 830306160 in words is "eight hundred thirty million, three hundred six thousand, one hundred sixty".