1330686900 has 288 divisors, whose sum is σ = 4623454080. Its totient is φ = 327075840.

The previous prime is 1330686887. The next prime is 1330686911. The reversal of 1330686900 is 96860331.

It is a happy number.

1330686900 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1330686900² = 3541455251663220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2432427 + ... + 2432973.

It is an arithmetic number, because the mean of its divisors is an integer number (16053660).

Almost surely, 2^1330686900 is an apocalyptic number.

1330686900 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 1330686900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2311727040).

1330686900 is an abundant number, since it is smaller than the sum of its proper divisors (3292767180).

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

1330686900 is a wasteful number, since it uses less digits than its factorization.

1330686900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1330686900 is about 36478.5813868906. The cubic root of 1330686900 is about 1099.9137397923.

The spelling of 1330686900 in words is "one billion, three hundred thirty million, six hundred eighty-six thousand, nine hundred".