1132971840 has 896 divisors, whose sum is σ = 5407395840. Its totient is φ = 215654400.

The previous prime is 1132971839. The next prime is 1132971841. The reversal of 1132971840 is 481792311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1132971839) and next prime (1132971841).

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

It is a junction number, because it is equal to n+sod(n) for n = 1132971795 and 1132971804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132971841) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 8648575 + ... + 8648705.

It is an arithmetic number, because the mean of its divisors is an integer number (6035040).

Almost surely, 2^1132971840 is an apocalyptic number.

1132971840 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 1132971840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2703697920).

1132971840 is an abundant number, since it is smaller than the sum of its proper divisors (4274424000).

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

1132971840 is a wasteful number, since it uses less digits than its factorization.

1132971840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1132971840 is about 33659.6470569731. The cubic root of 1132971840 is about 1042.4927384205.

The spelling of 1132971840 in words is "one billion, one hundred thirty-two million, nine hundred seventy-one thousand, eight hundred forty".