1116975600 has 360 divisors, whose sum is σ = 4323577440. Its totient is φ = 265144320.

The previous prime is 1116975581. The next prime is 1116975653. The reversal of 1116975600 is 65796111.

It is a happy number.

1116975600 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 97 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1356789 + ... + 1357611.

Almost surely, 2^1116975600 is an apocalyptic number.

1116975600 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 1116975600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2161788720).

1116975600 is an abundant number, since it is smaller than the sum of its proper divisors (3206601840).

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

1116975600 is a wasteful number, since it uses less digits than its factorization.

1116975600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 1116975600 is about 33421.1848982049. The cubic root of 1116975600 is about 1037.5632051299.

The spelling of 1116975600 in words is "one billion, one hundred sixteen million, nine hundred seventy-five thousand, six hundred".