1132664832 has 288 divisors, whose sum is σ = 3666826800. Its totient is φ = 334430208.

The previous prime is 1132664809. The next prime is 1132664833. The reversal of 1132664832 is 2384662311.

1132664832 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 6 + 648 + 3 + 2 = 666.

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 a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132664833) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6948783 + ... + 6948945.

Almost surely, 2^1132664832 is an apocalyptic number.

1132664832 is a gapful number since it is divisible by the number (12) 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 1132664832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1833413400).

1132664832 is an abundant number, since it is smaller than the sum of its proper divisors (2534161968).

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

1132664832 is a wasteful number, since it uses less digits than its factorization.

1132664832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 210 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 1132664832 is about 33655.0862723601. The cubic root of 1132664832 is about 1042.3985664642.

The spelling of 1132664832 in words is "one billion, one hundred thirty-two million, six hundred sixty-four thousand, eight hundred thirty-two".