1146960288 has 72 divisors (see below), whose sum is σ = 3268714176. Its totient is φ = 381494400.

The previous prime is 1146960271. The next prime is 1146960319. The reversal of 1146960288 is 8820696411.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 137353 + ... + 145463.

It is an arithmetic number, because the mean of its divisors is an integer number (45398808).

Almost surely, 2^1146960288 is an apocalyptic number.

1146960288 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 1146960288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634357088).

1146960288 is an abundant number, since it is smaller than the sum of its proper divisors (2121753888).

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

1146960288 is a wasteful number, since it uses less digits than its factorization.

1146960288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8618 (or 8607 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1146960288 is about 33866.8021519600. The cubic root of 1146960288 is about 1046.7656445992.

The spelling of 1146960288 in words is "one billion, one hundred forty-six million, nine hundred sixty thousand, two hundred eighty-eight".