1118986800 has 120 divisors (see below), whose sum is σ = 3740427264. Its totient is φ = 285415680.

The previous prime is 1118986789. The next prime is 1118986853. The reversal of 1118986800 is 86898111.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 7329 + ... + 47871.

Almost surely, 2^1118986800 is an apocalyptic number.

1118986800 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 1118986800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870213632).

1118986800 is an abundant number, since it is smaller than the sum of its proper divisors (2621440464).

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

1118986800 is a wasteful number, since it uses less digits than its factorization.

1118986800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40587 (or 40576 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 42.

The square root of 1118986800 is about 33451.2600659527. The cubic root of 1118986800 is about 1038.1855690444.

The spelling of 1118986800 in words is "one billion, one hundred eighteen million, nine hundred eighty-six thousand, eight hundred".