1166944320 has 336 divisors, whose sum is σ = 4271467200. Its totient is φ = 303077376.

The previous prime is 1166944319. The next prime is 1166944321. The reversal of 1166944320 is 234496611.

It is an interprime number because it is at equal distance from previous prime (1166944319) and next prime (1166944321).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1166944321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3343506 + ... + 3343854.

It is an arithmetic number, because the mean of its divisors is an integer number (12712700).

Almost surely, 2^1166944320 is an apocalyptic number.

1166944320 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 1166944320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2135733600).

1166944320 is an abundant number, since it is smaller than the sum of its proper divisors (3104522880).

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

1166944320 is an equidigital number, since it uses as much as digits as its factorization.

1166944320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1166944320 is about 34160.5667400294. The cubic root of 1166944320 is about 1052.8101052851.

The spelling of 1166944320 in words is "one billion, one hundred sixty-six million, nine hundred forty-four thousand, three hundred twenty".