1130035200 has 288 divisors, whose sum is σ = 4273476480. Its totient is φ = 258048000.

The previous prime is 1130035189. The next prime is 1130035211. The reversal of 1130035200 is 25300311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1130035189) and next prime (1130035211).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1130035200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1074675 + ... + 1075725.

It is an arithmetic number, because the mean of its divisors is an integer number (14838460).

Almost surely, 2^1130035200 is an apocalyptic number.

1130035200 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 1130035200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2136738240).

1130035200 is an abundant number, since it is smaller than the sum of its proper divisors (3143441280).

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

1130035200 is a wasteful number, since it uses less digits than its factorization.

1130035200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 1130035200 is about 33615.9961922892. The cubic root of 1130035200 is about 1041.5912524248.

Adding to 1130035200 its reverse (25300311), we get a palindrome (1155335511).

The spelling of 1130035200 in words is "one billion, one hundred thirty million, thirty-five thousand, two hundred".