1130098800 has 240 divisors, whose sum is σ = 3958889472. Its totient is φ = 274329600.

The previous prime is 1130098787. The next prime is 1130098819. The reversal of 1130098800 is 88900311.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1130098800² = 2554246595522880000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 631507 + ... + 633293.

Almost surely, 2^1130098800 is an apocalyptic number.

1130098800 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 1130098800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1979444736).

1130098800 is an abundant number, since it is smaller than the sum of its proper divisors (2828790672).

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

1130098800 is a wasteful number, since it uses less digits than its factorization.

1130098800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 1130098800 is about 33616.9421571921. The cubic root of 1130098800 is about 1041.6107928075.

The spelling of 1130098800 in words is "one billion, one hundred thirty million, ninety-eight thousand, eight hundred".