1648008 has 48 divisors (see below), whose sum is σ = 4567680. Its totient is φ = 536544.

The previous prime is 1648001. The next prime is 1648021. The reversal of 1648008 is 8008461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1648001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3141 + ... + 3627.

It is an arithmetic number, because the mean of its divisors is an integer number (95160).

2^1648008 is an apocalyptic number.

1648008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1648008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2283840).

1648008 is an abundant number, since it is smaller than the sum of its proper divisors (2919672).

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

1648008 is a wasteful number, since it uses less digits than its factorization.

1648008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1648008 is about 1283.7476387515. The cubic root of 1648008 is about 118.1190028029.

The spelling of 1648008 in words is "one million, six hundred forty-eight thousand, eight".