1135061856 has 192 divisors, whose sum is σ = 3470040000. Its totient is φ = 360493056.

The previous prime is 1135061849. The next prime is 1135061887. The reversal of 1135061856 is 6581605311.

1135061856 is a `hidden beast` number, since 1 + 1 + 35 + 0 + 618 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1135061856.

It is a congruent number.

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, 2229730 + ... + 2230238.

It is an arithmetic number, because the mean of its divisors is an integer number (18073125).

Almost surely, 2^1135061856 is an apocalyptic number.

1135061856 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 1135061856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735020000).

1135061856 is an abundant number, since it is smaller than the sum of its proper divisors (2334978144).

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

1135061856 is a wasteful number, since it uses less digits than its factorization.

1135061856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 1135061856 is about 33690.6790670654. The cubic root of 1135061856 is about 1043.1333804390.

The spelling of 1135061856 in words is "one billion, one hundred thirty-five million, sixty-one thousand, eight hundred fifty-six".