1006844748 has 144 divisors (see below), whose sum is σ = 2973003264. Its totient is φ = 262846080.

The previous prime is 1006844747. The next prime is 1006844759. The reversal of 1006844748 is 8474486001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1006844743) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 817293 + ... + 818523.

It is an arithmetic number, because the mean of its divisors is an integer number (20645856).

Almost surely, 2^1006844748 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 1006844748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486501632).

1006844748 is an abundant number, since it is smaller than the sum of its proper divisors (1966158516).

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

1006844748 is a wasteful number, since it uses less digits than its factorization.

1006844748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 1006844748 is about 31730.8170080759. The cubic root of 1006844748 is about 1002.2763967524.

The spelling of 1006844748 in words is "one billion, six million, eight hundred forty-four thousand, seven hundred forty-eight".