1166874240 has 384 divisors, whose sum is σ = 4409337600. Its totient is φ = 261660672.

The previous prime is 1166874197. The next prime is 1166874251. The reversal of 1166874240 is 424786611.

1166874240 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 7432242 + ... + 7432398.

It is an arithmetic number, because the mean of its divisors is an integer number (11482650).

Almost surely, 2^1166874240 is an apocalyptic number.

1166874240 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 1166874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2204668800).

1166874240 is an abundant number, since it is smaller than the sum of its proper divisors (3242463360).

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

1166874240 is a wasteful number, since it uses less digits than its factorization.

1166874240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 1166874240 is about 34159.5409805226. The cubic root of 1166874240 is about 1052.7890296126.

The spelling of 1166874240 in words is "one billion, one hundred sixty-six million, eight hundred seventy-four thousand, two hundred forty".