1115868600 has 576 divisors, whose sum is σ = 4777194240. Its totient is φ = 226713600.

The previous prime is 1115868541. The next prime is 1115868617. The reversal of 1115868600 is 68685111.

1115868600 is a `hidden beast` number, since 1 + 11 + 586 + 8 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 11503752 + ... + 11503848.

It is an arithmetic number, because the mean of its divisors is an integer number (8293740).

Almost surely, 2^1115868600 is an apocalyptic number.

1115868600 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 1115868600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2388597120).

1115868600 is an abundant number, since it is smaller than the sum of its proper divisors (3661325640).

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

1115868600 is a wasteful number, since it uses less digits than its factorization.

1115868600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 1115868600 is about 33404.6194410294. The cubic root of 1115868600 is about 1037.2203262229.

The spelling of 1115868600 in words is "one billion, one hundred fifteen million, eight hundred sixty-eight thousand, six hundred".