1330167960 has 512 divisors, whose sum is σ = 5225472000. Its totient is φ = 297561600.

The previous prime is 1330167919. The next prime is 1330167983. The reversal of 1330167960 is 697610331.

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 127 ways as a sum of consecutive naturals, for example, 16026079 + ... + 16026161.

It is an arithmetic number, because the mean of its divisors is an integer number (10206000).

Almost surely, 2^1330167960 is an apocalyptic number.

1330167960 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 1330167960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612736000).

1330167960 is an abundant number, since it is smaller than the sum of its proper divisors (3895304040).

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

1330167960 is a wasteful number, since it uses less digits than its factorization.

1330167960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 1330167960 is about 36471.4677522032. The cubic root of 1330167960 is about 1099.7707401002.

The spelling of 1330167960 in words is "one billion, three hundred thirty million, one hundred sixty-seven thousand, nine hundred sixty".