1061635104 has 144 divisors (see below), whose sum is σ = 3166817472. Its totient is φ = 336720384.

The previous prime is 1061635093. The next prime is 1061635129. The reversal of 1061635104 is 4015361601.

1061635104 is a `hidden beast` number, since 1 + 0 + 616 + 35 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1061635104² = 2254138188090181632, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1940559 + ... + 1941105.

It is an arithmetic number, because the mean of its divisors is an integer number (21991788).

Almost surely, 2^1061635104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1061635104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583408736).

1061635104 is an abundant number, since it is smaller than the sum of its proper divisors (2105182368).

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

1061635104 is a wasteful number, since it uses less digits than its factorization.

1061635104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1061635104 is about 32582.7424260144. The cubic root of 1061635104 is about 1020.1368213232.

Adding to 1061635104 its reverse (4015361601), we get a palindrome (5076996705).

The spelling of 1061635104 in words is "one billion, sixty-one million, six hundred thirty-five thousand, one hundred four".