830832640 has 128 divisors (see below), whose sum is σ = 2179956240. Its totient is φ = 301465600.

The previous prime is 830832601. The next prime is 830832641. The reversal of 830832640 is 46238038.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 830832596 and 830832605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830832641) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1802010 + ... + 1802470.

Almost surely, 2^830832640 is an apocalyptic number.

830832640 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 830832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089978120).

830832640 is an abundant number, since it is smaller than the sum of its proper divisors (1349123600).

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

830832640 is an equidigital number, since it uses as much as digits as its factorization.

830832640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 830832640 is about 28824.1676375919. The cubic root of 830832640 is about 940.0937887406.

The spelling of 830832640 in words is "eight hundred thirty million, eight hundred thirty-two thousand, six hundred forty".