1009947648 has 88 divisors (see below), whose sum is σ = 2743111008. Its totient is φ = 330244096.

The previous prime is 1009947647. The next prime is 1009947661. The reversal of 1009947648 is 8467499001.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1009947597 and 1009947606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009947643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159715 + ... + 165917.

It is an arithmetic number, because the mean of its divisors is an integer number (31171716).

Almost surely, 2^1009947648 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 1009947648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371555504).

1009947648 is an abundant number, since it is smaller than the sum of its proper divisors (1733163360).

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

1009947648 is an equidigital number, since it uses as much as digits as its factorization.

1009947648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6279 (or 6261 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 1009947648 is about 31779.6735036721. The cubic root of 1009947648 is about 1003.3049479527.

The spelling of 1009947648 in words is "one billion, nine million, nine hundred forty-seven thousand, six hundred forty-eight".