1026735849 has 6 divisors (see below), whose sum is σ = 1483062906. Its totient is φ = 684490560.

The previous prime is 1026735793. The next prime is 1026735863. The reversal of 1026735849 is 9485376201.

1026735849 is a `hidden beast` number, since 1 + 0 + 2 + 67 + 3 + 584 + 9 = 666.

1026735849 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 593263449 + 433472400 = 24357^2 + 20820^2 .

It is not a de Polignac number, because 1026735849 - 2⁹ = 1026735337 is a prime.

1026735849 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (1026735869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 57040872 + ... + 57040889.

It is an arithmetic number, because the mean of its divisors is an integer number (247177151).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1026735849 = 2053471698, but 3⋅1026735849 = 3080207547 is not.

Almost surely, 2^1026735849 is an apocalyptic number.

It is an amenable number.

1026735849 is a deficient number, since it is larger than the sum of its proper divisors (456327057).

1026735849 is a wasteful number, since it uses less digits than its factorization.

1026735849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114081767 (or 114081764 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1026735849 is about 32042.7191261915. The cubic root of 1026735849 is about 1008.8336858844.

The spelling of 1026735849 in words is "one billion, twenty-six million, seven hundred thirty-five thousand, eight hundred forty-nine".