1320375168 has 480 divisors, whose sum is σ = 4811898960. Its totient is φ = 357654528.

The previous prime is 1320375139. The next prime is 1320375197. The reversal of 1320375168 is 8615730231.

1320375168 is a `hidden beast` number, since 132 + 0 + 3 + 7 + 516 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1320375139) and next prime (1320375197).

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 59 ways as a sum of consecutive naturals, for example, 11684680 + ... + 11684792.

Almost surely, 2^1320375168 is an apocalyptic number.

1320375168 is a gapful number since it is divisible by the number (18) 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 1320375168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405949480).

1320375168 is an abundant number, since it is smaller than the sum of its proper divisors (3491523792).

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

1320375168 is a wasteful number, since it uses less digits than its factorization.

1320375168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1320375168 is about 36336.9669620347. The cubic root of 1320375168 is about 1097.0652260920.

The spelling of 1320375168 in words is "one billion, three hundred twenty million, three hundred seventy-five thousand, one hundred sixty-eight".