1132056576 has 312 divisors, whose sum is σ = 3864055104. Its totient is φ = 312606720.

The previous prime is 1132056559. The next prime is 1132056577. The reversal of 1132056576 is 6756502311.

1132056576 is a `hidden beast` number, since 1 + 1 + 3 + 20 + 565 + 76 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1132056576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132056577) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10579915 + ... + 10580021.

It is an arithmetic number, because the mean of its divisors is an integer number (12384792).

Almost surely, 2^1132056576 is an apocalyptic number.

1132056576 is a gapful number since it is divisible by the number (16) 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 1132056576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1932027552).

1132056576 is an abundant number, since it is smaller than the sum of its proper divisors (2731998528).

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

1132056576 is a wasteful number, since it uses less digits than its factorization.

1132056576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 1132056576 is about 33646.0484455456. The cubic root of 1132056576 is about 1042.2119391127.

Adding to 1132056576 its reverse (6756502311), we get a palindrome (7888558887).

It can be divided in two parts, 11320 and 56576, that added together give a triangular number (67896 = T₃₆₈).

The spelling of 1132056576 in words is "one billion, one hundred thirty-two million, fifty-six thousand, five hundred seventy-six".