1132432224 has 288 divisors, whose sum is σ = 3936119040. Its totient is φ = 278277120.

The previous prime is 1132432187. The next prime is 1132432297. The reversal of 1132432224 is 4222342311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 1132432194 and 1132432203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1544562 + ... + 1545294.

It is an arithmetic number, because the mean of its divisors is an integer number (13667080).

Almost surely, 2^1132432224 is an apocalyptic number.

1132432224 is a gapful number since it is divisible by the number (14) 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 1132432224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968059520).

1132432224 is an abundant number, since it is smaller than the sum of its proper divisors (2803686816).

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

1132432224 is a wasteful number, since it uses less digits than its factorization.

1132432224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 775 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 1132432224 is about 33651.6303319765. The cubic root of 1132432224 is about 1042.3272047106.

Adding to 1132432224 its reverse (4222342311), we get a palindrome (5354774535).

The spelling of 1132432224 in words is "one billion, one hundred thirty-two million, four hundred thirty-two thousand, two hundred twenty-four".