1116753600 has 168 divisors, whose sum is σ = 3685598928. Its totient is φ = 296038400.

The previous prime is 1116753563. The next prime is 1116753607. The reversal of 1116753600 is 63576111.

It is a super-2 number, since 2×1116753600² = 2494277206225920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1116753607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 945010 + ... + 946190.

Almost surely, 2^1116753600 is an apocalyptic number.

1116753600 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 1116753600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842799464).

1116753600 is an abundant number, since it is smaller than the sum of its proper divisors (2568845328).

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

1116753600 is a wasteful number, since it uses less digits than its factorization.

1116753600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 1116753600 is about 33417.8634864648. The cubic root of 1116753600 is about 1037.4944616727.

The spelling of 1116753600 in words is "one billion, one hundred sixteen million, seven hundred fifty-three thousand, six hundred".