1130001600 has 504 divisors, whose sum is σ = 4611014400. Its totient is φ = 237219840.

The previous prime is 1130001599. The next prime is 1130001629. The reversal of 1130001600 is 61000311.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 71 ways as a sum of consecutive naturals, for example, 5678301 + ... + 5678499.

Almost surely, 2^1130001600 is an apocalyptic number.

1130001600 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 1130001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305507200).

1130001600 is an abundant number, since it is smaller than the sum of its proper divisors (3481012800).

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

1130001600 is a wasteful number, since it uses less digits than its factorization.

1130001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1130001600 is about 33615.4964264995. The cubic root of 1130001600 is about 1041.5809289077.

Adding to 1130001600 its reverse (61000311), we get a palindrome (1191001911).

The spelling of 1130001600 in words is "one billion, one hundred thirty million, one thousand, six hundred".