1320829020 has 144 divisors (see below), whose sum is σ = 4594157568. Its totient is φ = 300896640.

The previous prime is 1320829019. The next prime is 1320829067. The reversal of 1320829020 is 209280231.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 415477 + ... + 418643.

It is an arithmetic number, because the mean of its divisors is an integer number (31903872).

Almost surely, 2^1320829020 is an apocalyptic number.

1320829020 is a gapful number since it is divisible by the number (10) 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 1320829020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2297078784).

1320829020 is an abundant number, since it is smaller than the sum of its proper divisors (3273328548).

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

1320829020 is a wasteful number, since it uses less digits than its factorization.

1320829020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3520 (or 3515 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1320829020 is about 36343.2114706447. The cubic root of 1320829020 is about 1097.1909096153.

The spelling of 1320829020 in words is "one billion, three hundred twenty million, eight hundred twenty-nine thousand, twenty".