1166400240 has 80 divisors (see below), whose sum is σ = 3661670400. Its totient is φ = 307097856.

The previous prime is 1166400233. The next prime is 1166400251. The reversal of 1166400240 is 420046611.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1166400240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11800 + ... + 49719.

It is an arithmetic number, because the mean of its divisors is an integer number (45770880).

Almost surely, 2^1166400240 is an apocalyptic number.

1166400240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1166400240 is an abundant number, since it is smaller than the sum of its proper divisors (2495270160).

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

1166400240 is a wasteful number, since it uses less digits than its factorization.

1166400240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61614 (or 61608 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1166400240 is about 34152.6022434602. The cubic root of 1166400240 is about 1052.6464579546.

Adding to 1166400240 its reverse (420046611), we get a palindrome (1586446851).

The spelling of 1166400240 in words is "one billion, one hundred sixty-six million, four hundred thousand, two hundred forty".