1013947008 has 128 divisors (see below), whose sum is σ = 2927155200. Its totient is φ = 309795840.

The previous prime is 1013947003. The next prime is 1013947021. The reversal of 1013947008 is 8007493101.

1013947008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1013947008.

It is not an unprimeable number, because it can be changed into a prime (1013947003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223935 + ... + 228417.

It is an arithmetic number, because the mean of its divisors is an integer number (22868400).

Almost surely, 2^1013947008 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 1013947008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463577600).

1013947008 is an abundant number, since it is smaller than the sum of its proper divisors (1913208192).

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

1013947008 is a wasteful number, since it uses less digits than its factorization.

1013947008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4550 (or 4538 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 1013947008 is about 31842.5345724865. The cubic root of 1013947008 is about 1004.6275553661.

The spelling of 1013947008 in words is "one billion, thirteen million, nine hundred forty-seven thousand, eight".