830611520 has 168 divisors, whose sum is σ = 2127744792. Its totient is φ = 308551680.

The previous prime is 830611493. The next prime is 830611531. The reversal of 830611520 is 25116038.

It can be written as a sum of positive squares in 4 ways, for example, as 251920384 + 578691136 = 15872^2 + 24056^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 830611520.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11378204 + ... + 11378276.

Almost surely, 2^830611520 is an apocalyptic number.

830611520 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 830611520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063872396).

830611520 is an abundant number, since it is smaller than the sum of its proper divisors (1297133272).

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

830611520 is a wasteful number, since it uses less digits than its factorization.

830611520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 830611520 is about 28820.3317121785. The cubic root of 830611520 is about 940.0103816569.

Adding to 830611520 its reverse (25116038), we get a palindrome (855727558).

The spelling of 830611520 in words is "eight hundred thirty million, six hundred eleven thousand, five hundred twenty".