1129756320 has 576 divisors, whose sum is σ = 5026904064. Its totient is φ = 224040960.

The previous prime is 1129756319. The next prime is 1129756349. The reversal of 1129756320 is 236579211.

1129756320 is a `hidden beast` number, since 1 + 1 + 2 + 97 + 563 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2550019 + ... + 2550461.

It is an arithmetic number, because the mean of its divisors is an integer number (8727264).

Almost surely, 2^1129756320 is an apocalyptic number.

1129756320 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 1129756320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2513452032).

1129756320 is an abundant number, since it is smaller than the sum of its proper divisors (3897147744).

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

1129756320 is a wasteful number, since it uses less digits than its factorization.

1129756320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1129756320 is about 33611.8479111161. The cubic root of 1129756320 is about 1041.5055610329.

The spelling of 1129756320 in words is "one billion, one hundred twenty-nine million, seven hundred fifty-six thousand, three hundred twenty".