830369160 has 192 divisors, whose sum is σ = 2881382400. Its totient is φ = 206779392.

The previous prime is 830369159. The next prime is 830369167. The reversal of 830369160 is 61963038.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (830369167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 498489 + ... + 500151.

It is an arithmetic number, because the mean of its divisors is an integer number (15007200).

Almost surely, 2^830369160 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 830369160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440691200).

830369160 is an abundant number, since it is smaller than the sum of its proper divisors (2051013240).

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

830369160 is a wasteful number, since it uses less digits than its factorization.

830369160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 830369160 is about 28816.1267348684. The cubic root of 830369160 is about 939.9189457800.

The spelling of 830369160 in words is "eight hundred thirty million, three hundred sixty-nine thousand, one hundred sixty".