1129822560 has 384 divisors, whose sum is σ = 4206504960. Its totient is φ = 282636288.

The previous prime is 1129822511. The next prime is 1129822591. The reversal of 1129822560 is 652289211.

1129822560 is a `hidden beast` number, since 1 + 1 + 2 + 98 + 2 + 2 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8246812 + ... + 8246948.

It is an arithmetic number, because the mean of its divisors is an integer number (10954440).

Almost surely, 2^1129822560 is an apocalyptic number.

1129822560 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 1129822560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103252480).

1129822560 is an abundant number, since it is smaller than the sum of its proper divisors (3076682400).

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

1129822560 is a wasteful number, since it uses less digits than its factorization.

1129822560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1129822560 is about 33612.8332635022. The cubic root of 1129822560 is about 1041.5259158589.

The spelling of 1129822560 in words is "one billion, one hundred twenty-nine million, eight hundred twenty-two thousand, five hundred sixty".