1016824830 has 64 divisors (see below), whose sum is σ = 2830671360. Its totient is φ = 228945024.

The previous prime is 1016824829. The next prime is 1016824841. The reversal of 1016824830 is 384286101.

It is a junction number, because it is equal to n+sod(n) for n = 1016824791 and 1016824800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22065 + ... + 50204.

It is an arithmetic number, because the mean of its divisors is an integer number (44229240).

Almost surely, 2^1016824830 is an apocalyptic number.

1016824830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1016824830 is an abundant number, since it is smaller than the sum of its proper divisors (1813846530).

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

1016824830 is a wasteful number, since it uses less digits than its factorization.

1016824830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72353.

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 1016824830 is about 31887.6908853557. The cubic root of 1016824830 is about 1005.5771146351.

The spelling of 1016824830 in words is "one billion, sixteen million, eight hundred twenty-four thousand, eight hundred thirty".