1129261056 has 432 divisors, whose sum is σ = 3973656960. Its totient is φ = 283852800.

The previous prime is 1129261043. The next prime is 1129261079. The reversal of 1129261056 is 6501629211.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36427761 + ... + 36427791.

It is an arithmetic number, because the mean of its divisors is an integer number (9198280).

Almost surely, 2^1129261056 is an apocalyptic number.

1129261056 is a gapful number since it is divisible by the number (16) 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 1129261056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1986828480).

1129261056 is an abundant number, since it is smaller than the sum of its proper divisors (2844395904).

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

1129261056 is a wasteful number, since it uses less digits than its factorization.

1129261056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 1129261056 is about 33604.4797013731. The cubic root of 1129261056 is about 1041.3533466144.

The spelling of 1129261056 in words is "one billion, one hundred twenty-nine million, two hundred sixty-one thousand, fifty-six".