1132106976 has 864 divisors, whose sum is σ = 4814238240. Its totient is φ = 255467520.

The previous prime is 1132106957. The next prime is 1132106981. The reversal of 1132106976 is 6796012311.

It is a tau number, because it is divible by the number of its divisors (864).

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 1132106976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 66594520 + ... + 66594536.

It is an arithmetic number, because the mean of its divisors is an integer number (5572035).

Almost surely, 2^1132106976 is an apocalyptic number.

1132106976 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 1132106976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2407119120).

1132106976 is an abundant number, since it is smaller than the sum of its proper divisors (3682131264).

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

1132106976 is a wasteful number, since it uses less digits than its factorization.

1132106976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 1132106976 is about 33646.7974107492. The cubic root of 1132106976 is about 1042.2274055665.

The spelling of 1132106976 in words is "one billion, one hundred thirty-two million, one hundred six thousand, nine hundred seventy-six".