1261006008 has 128 divisors (see below), whose sum is σ = 3426416640. Its totient is φ = 385280000.

The previous prime is 1261006007. The next prime is 1261006013. The reversal of 1261006008 is 8006001621.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1261006007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2925553 + ... + 2925983.

It is an arithmetic number, because the mean of its divisors is an integer number (26768880).

Almost surely, 2^1261006008 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 1261006008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713208320).

1261006008 is an abundant number, since it is smaller than the sum of its proper divisors (2165410632).

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

1261006008 is a wasteful number, since it uses less digits than its factorization.

1261006008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1261006008 is about 35510.6464035787. The cubic root of 1261006008 is about 1080.3696745466.

Adding to 1261006008 its reverse (8006001621), we get a palindrome (9267007629).

The spelling of 1261006008 in words is "one billion, two hundred sixty-one million, six thousand, eight".