1006548992 has 48 divisors (see below), whose sum is σ = 2055624480. Its totient is φ = 492519424.

The previous prime is 1006548989. The next prime is 1006549007. The reversal of 1006548992 is 2998456001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 91028 + ... + 101484.

It is an arithmetic number, because the mean of its divisors is an integer number (42825510).

Almost surely, 2^1006548992 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 1006548992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027812240).

1006548992 is an abundant number, since it is smaller than the sum of its proper divisors (1049075488).

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

1006548992 is an equidigital number, since it uses as much as digits as its factorization.

1006548992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10526 (or 10506 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 44.

The square root of 1006548992 is about 31726.1562752250. The cubic root of 1006548992 is about 1002.1782491190.

The spelling of 1006548992 in words is "one billion, six million, five hundred forty-eight thousand, nine hundred ninety-two".