820965120 has 144 divisors (see below), whose sum is σ = 2633326080. Its totient is φ = 217976832.

The previous prime is 820965113. The next prime is 820965143. The reversal of 820965120 is 21569028.

820965120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×820965120² = 1347967456513228800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1685517 + ... + 1686003.

Almost surely, 2^820965120 is an apocalyptic number.

820965120 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 820965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316663040).

820965120 is an abundant number, since it is smaller than the sum of its proper divisors (1812360960).

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

820965120 is a wasteful number, since it uses less digits than its factorization.

820965120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 820965120 is about 28652.4888971272. The cubic root of 820965120 is about 936.3572308722.

The spelling of 820965120 in words is "eight hundred twenty million, nine hundred sixty-five thousand, one hundred twenty".