1648841000 has 64 divisors (see below), whose sum is σ = 3888967680. Its totient is φ = 654292800.

The previous prime is 1648840987. The next prime is 1648841009. The reversal of 1648841000 is 1488461.

1648841000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1648841009) 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, 120509 + ... + 133491.

It is an arithmetic number, because the mean of its divisors is an integer number (60765120).

Almost surely, 2^1648841000 is an apocalyptic number.

1648841000 is a gapful number since it is divisible by the number (10) 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 1648841000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1944483840).

1648841000 is an abundant number, since it is smaller than the sum of its proper divisors (2240126680).

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

1648841000 is a wasteful number, since it uses less digits than its factorization.

1648841000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13131 (or 13117 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 1648841000 is about 40605.9232132456. The cubic root of 1648841000 is about 1181.3890087708.

The spelling of 1648841000 in words is "one billion, six hundred forty-eight million, eight hundred forty-one thousand".