1460160768 has 144 divisors (see below), whose sum is σ = 4260807936. Its totient is φ = 440248320.

The previous prime is 1460160763. The next prime is 1460160769. The reversal of 1460160768 is 8670610641.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1460160763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2593255 + ... + 2593817.

It is an arithmetic number, because the mean of its divisors is an integer number (29588944).

Almost surely, 2^1460160768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1460160768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2130403968).

1460160768 is an abundant number, since it is smaller than the sum of its proper divisors (2800647168).

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

1460160768 is a wasteful number, since it uses less digits than its factorization.

1460160768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 1460160768 is about 38212.0500366049. The cubic root of 1460160768 is about 1134.4888324201.

The spelling of 1460160768 in words is "one billion, four hundred sixty million, one hundred sixty thousand, seven hundred sixty-eight".