1116610400 has 144 divisors (see below), whose sum is σ = 2844661680. Its totient is φ = 427622400.

The previous prime is 1116610387. The next prime is 1116610433. The reversal of 1116610400 is 40166111.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 1934912 + ... + 1935488.

It is an arithmetic number, because the mean of its divisors is an integer number (19754595).

Almost surely, 2^1116610400 is an apocalyptic number.

1116610400 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 1116610400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422330840).

1116610400 is an abundant number, since it is smaller than the sum of its proper divisors (1728051280).

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

1116610400 is a wasteful number, since it uses less digits than its factorization.

1116610400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 1116610400 is about 33415.7208511204. The cubic root of 1116610400 is about 1037.4501142124.

Adding to 1116610400 its reverse (40166111), we get a palindrome (1156776511).

The spelling of 1116610400 in words is "one billion, one hundred sixteen million, six hundred ten thousand, four hundred".