1648900 has 36 divisors (see below), whose sum is σ = 3906000. Its totient is φ = 599200.

The previous prime is 1648879. The next prime is 1648909. The reversal of 1648900 is 98461.

It is not an unprimeable number, because it can be changed into a prime (1648909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 351 + ... + 1849.

It is an arithmetic number, because the mean of its divisors is an integer number (108500).

2^1648900 is an apocalyptic number.

1648900 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 1648900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1953000).

1648900 is an abundant number, since it is smaller than the sum of its proper divisors (2257100).

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

1648900 is a wasteful number, since it uses less digits than its factorization.

1648900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 1648900 is about 1284.0950120610. The cubic root of 1648900 is about 118.1403099703.

The spelling of 1648900 in words is "one million, six hundred forty-eight thousand, nine hundred".