1116460800 has 864 divisors, whose sum is σ = 5109672960. Its totient is φ = 232243200.

The previous prime is 1116460757. The next prime is 1116460819. The reversal of 1116460800 is 80646111.

1116460800 is a `hidden beast` number, since 1 + 11 + 646 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15724765 + ... + 15724835.

Almost surely, 2^1116460800 is an apocalyptic number.

1116460800 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 1116460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2554836480).

1116460800 is an abundant number, since it is smaller than the sum of its proper divisors (3993212160).

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

1116460800 is a wasteful number, since it uses less digits than its factorization.

1116460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 101 counting only the distinct ones).

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

The square root of 1116460800 is about 33413.4823087927. The cubic root of 1116460800 is about 1037.4037806930.

The spelling of 1116460800 in words is "one billion, one hundred sixteen million, four hundred sixty thousand, eight hundred".