1166090240 has 224 divisors, whose sum is σ = 3302812800. Its totient is φ = 394985472.

The previous prime is 1166090221. The next prime is 1166090243. The reversal of 1166090240 is 420906611.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (1166090243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14049239 + ... + 14049321.

It is an arithmetic number, because the mean of its divisors is an integer number (14744700).

Almost surely, 2^1166090240 is an apocalyptic number.

1166090240 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 1166090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651406400).

1166090240 is an abundant number, since it is smaller than the sum of its proper divisors (2136722560).

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

1166090240 is an frugal number, since it uses more digits than its factorization.

1166090240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 1166090240 is about 34148.0634882858. The cubic root of 1166090240 is about 1052.5531939947.

Adding to 1166090240 its reverse (420906611), we get a palindrome (1586996851).

The spelling of 1166090240 in words is "one billion, one hundred sixty-six million, ninety thousand, two hundred forty".