1166290944 has 312 divisors, whose sum is σ = 3921850800. Its totient is φ = 305528832.

The previous prime is 1166290921. The next prime is 1166290991. The reversal of 1166290944 is 4490926611.

It is a tau number, because it is divible by the number of its divisors (312).

It is a super-2 number, since 2×1166290944² = 2720469132112822272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1166290896 and 1166290905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7827382 + ... + 7827530.

Almost surely, 2^1166290944 is an apocalyptic number.

1166290944 is a gapful number since it is divisible by the number (14) 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 1166290944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960925400).

1166290944 is an abundant number, since it is smaller than the sum of its proper divisors (2755559856).

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

1166290944 is a wasteful number, since it uses less digits than its factorization.

1166290944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 1166290944 is about 34151.0020936429. The cubic root of 1166290944 is about 1052.6135779771.

The spelling of 1166290944 in words is "one billion, one hundred sixty-six million, two hundred ninety thousand, nine hundred forty-four".