1120661136 has 160 divisors (see below), whose sum is σ = 3723571200. Its totient is φ = 316068480.

The previous prime is 1120661119. The next prime is 1120661189. The reversal of 1120661136 is 6311660211.

1120661136 is a `hidden beast` number, since 1 + 12 + 0 + 6 + 611 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236551 + ... + 241241.

It is an arithmetic number, because the mean of its divisors is an integer number (23272320).

Almost surely, 2^1120661136 is an apocalyptic number.

1120661136 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 1120661136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1861785600).

1120661136 is an abundant number, since it is smaller than the sum of its proper divisors (2602910064).

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

1120661136 is a wasteful number, since it uses less digits than its factorization.

1120661136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4794 (or 4782 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1120661136 is about 33476.2772123783. The cubic root of 1120661136 is about 1038.7031221269.

The spelling of 1120661136 in words is "one billion, one hundred twenty million, six hundred sixty-one thousand, one hundred thirty-six".