1166329248 has 192 divisors, whose sum is σ = 3616284672. Its totient is φ = 322237440.

The previous prime is 1166329201. The next prime is 1166329253. The reversal of 1166329248 is 8429236611.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 5230065 + ... + 5230287.

It is an arithmetic number, because the mean of its divisors is an integer number (18834816).

Almost surely, 2^1166329248 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 1166329248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808142336).

1166329248 is an abundant number, since it is smaller than the sum of its proper divisors (2449955424).

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

1166329248 is a wasteful number, since it uses less digits than its factorization.

1166329248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 459 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 1166329248 is about 34151.5628924944. The cubic root of 1166329248 is about 1052.6251013651.

The spelling of 1166329248 in words is "one billion, one hundred sixty-six million, three hundred twenty-nine thousand, two hundred forty-eight".