1130937600 has 432 divisors, whose sum is σ = 4215480192. Its totient is φ = 264929280.

The previous prime is 1130937583. The next prime is 1130937607. The reversal of 1130937600 is 67390311.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130937607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5740702 + ... + 5740898.

It is an arithmetic number, because the mean of its divisors is an integer number (9758056).

Almost surely, 2^1130937600 is an apocalyptic number.

1130937600 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 1130937600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2107740096).

1130937600 is an abundant number, since it is smaller than the sum of its proper divisors (3084542592).

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

1130937600 is a wasteful number, since it uses less digits than its factorization.

1130937600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 1130937600 is about 33629.4156951916. The cubic root of 1130937600 is about 1041.8684360795.

The spelling of 1130937600 in words is "one billion, one hundred thirty million, nine hundred thirty-seven thousand, six hundred".