1146000960 has 560 divisors, whose sum is σ = 4646980800. Its totient is φ = 265752576.

The previous prime is 1146000931. The next prime is 1146000983. The reversal of 1146000960 is 690006411.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6402151 + ... + 6402329.

It is an arithmetic number, because the mean of its divisors is an integer number (8298180).

Almost surely, 2^1146000960 is an apocalyptic number.

1146000960 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 1146000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2323490400).

1146000960 is an abundant number, since it is smaller than the sum of its proper divisors (3500979840).

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

1146000960 is a wasteful number, since it uses less digits than its factorization.

1146000960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1146000960 is about 33852.6359387271. The cubic root of 1146000960 is about 1046.4737217650.

The spelling of 1146000960 in words is "one billion, one hundred forty-six million, nine hundred sixty", and thus it is an aban number.