1129433760 has 768 divisors, whose sum is σ = 5181926400. Its totient is φ = 224280576.

The previous prime is 1129433749. The next prime is 1129433761. The reversal of 1129433760 is 673349211.

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

It is not an unprimeable number, because it can be changed into a prime (1129433761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 66437272 + ... + 66437288.

It is an arithmetic number, because the mean of its divisors is an integer number (6747300).

Almost surely, 2^1129433760 is an apocalyptic number.

1129433760 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 1129433760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2590963200).

1129433760 is an abundant number, since it is smaller than the sum of its proper divisors (4052492640).

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

1129433760 is a wasteful number, since it uses less digits than its factorization.

1129433760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 1129433760 is about 33607.0492605346. The cubic root of 1129433760 is about 1041.4064305079.

It can be divided in two parts, 11294 and 33760, that added together give a palindrome (45054).

The spelling of 1129433760 in words is "one billion, one hundred twenty-nine million, four hundred thirty-three thousand, seven hundred sixty".