1131598080 has 288 divisors, whose sum is σ = 4061836800. Its totient is φ = 298303488.

The previous prime is 1131598079. The next prime is 1131598099. The reversal of 1131598080 is 808951311.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4734601 + ... + 4734839.

It is an arithmetic number, because the mean of its divisors is an integer number (14103600).

Almost surely, 2^1131598080 is an apocalyptic number.

1131598080 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 1131598080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030918400).

1131598080 is an abundant number, since it is smaller than the sum of its proper divisors (2930238720).

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

1131598080 is a wasteful number, since it uses less digits than its factorization.

1131598080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The square root of 1131598080 is about 33639.2342362308. The cubic root of 1131598080 is about 1042.0712174852.

The spelling of 1131598080 in words is "one billion, one hundred thirty-one million, five hundred ninety-eight thousand, eighty".