1393880160 has 96 divisors (see below), whose sum is σ = 4415523840. Its totient is φ = 369602048.

The previous prime is 1393880143. The next prime is 1393880179. The reversal of 1393880160 is 610883931.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77809 + ... + 94031.

It is an arithmetic number, because the mean of its divisors is an integer number (45995040).

Almost surely, 2^1393880160 is an apocalyptic number.

1393880160 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 1393880160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2207761920).

1393880160 is an abundant number, since it is smaller than the sum of its proper divisors (3021643680).

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

1393880160 is a wasteful number, since it uses less digits than its factorization.

1393880160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16420 (or 16412 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 1393880160 is about 37334.7044986297. The cubic root of 1393880160 is about 1117.0565141626.

The spelling of 1393880160 in words is "one billion, three hundred ninety-three million, eight hundred eighty thousand, one hundred sixty".