830538360 has 160 divisors (see below), whose sum is σ = 2881929600. Its totient is φ = 214306560.

The previous prime is 830538323. The next prime is 830538389. The reversal of 830538360 is 63835038.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 96306 + ... + 104574.

It is an arithmetic number, because the mean of its divisors is an integer number (18012060).

Almost surely, 2^830538360 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 830538360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440964800).

830538360 is an abundant number, since it is smaller than the sum of its proper divisors (2051391240).

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

830538360 is a wasteful number, since it uses less digits than its factorization.

830538360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8323 (or 8310 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 830538360 is about 28819.0624413772. The cubic root of 830538360 is about 939.9827822408.

It can be divided in two parts, 8305 and 38360, that added together give a triangular number (46665 = T₃₀₅).

The spelling of 830538360 in words is "eight hundred thirty million, five hundred thirty-eight thousand, three hundred sixty".