1648000 has 64 divisors (see below), whose sum is σ = 4137120. Its totient is φ = 652800.

The previous prime is 1647977. The next prime is 1648001. The reversal of 1648000 is 8461.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15949 + ... + 16051.

2^1648000 is an apocalyptic number.

1648000 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 1648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068560).

1648000 is an abundant number, since it is smaller than the sum of its proper divisors (2489120).

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

1648000 is an equidigital number, since it uses as much as digits as its factorization.

1648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 1648000 is about 1283.7445228705. The cubic root of 1648000 is about 118.1188116725.

The spelling of 1648000 in words is "one million, six hundred forty-eight thousand".