1133002080 has 576 divisors, whose sum is σ = 4808014848. Its totient is φ = 246343680.

The previous prime is 1133002051. The next prime is 1133002081. The reversal of 1133002080 is 802003311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133002081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6259590 + ... + 6259770.

It is an arithmetic number, because the mean of its divisors is an integer number (8347248).

Almost surely, 2^1133002080 is an apocalyptic number.

1133002080 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 1133002080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2404007424).

1133002080 is an abundant number, since it is smaller than the sum of its proper divisors (3675012768).

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

1133002080 is a wasteful number, since it uses less digits than its factorization.

1133002080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1133002080 is about 33660.0962565469. The cubic root of 1133002080 is about 1042.5020133495.

Adding to 1133002080 its reverse (802003311), we get a palindrome (1935005391).

The spelling of 1133002080 in words is "one billion, one hundred thirty-three million, two thousand, eighty".