1110668400 has 90 divisors (see below), whose sum is σ = 3854340360. Its totient is φ = 296177280.

The previous prime is 1110668387. The next prime is 1110668411. The reversal of 1110668400 is 48660111.

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 150660 + ... + 157859.

It is an arithmetic number, because the mean of its divisors is an integer number (42826004).

Almost surely, 2^1110668400 is an apocalyptic number.

1110668400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1110668400 is an abundant number, since it is smaller than the sum of its proper divisors (2743671960).

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

1110668400 is a wasteful number, since it uses less digits than its factorization.

1110668400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308543 (or 308529 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1110668400 is about 33326.6920050580. The cubic root of 1110668400 is about 1035.6065897418.

The spelling of 1110668400 in words is "one billion, one hundred ten million, six hundred sixty-eight thousand, four hundred".