1648500 has 96 divisors (see below), whose sum is σ = 5521152. Its totient is φ = 374400.

The previous prime is 1648499. The next prime is 1648513. The reversal of 1648500 is 58461.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10422 + ... + 10578.

It is an arithmetic number, because the mean of its divisors is an integer number (57512).

2^1648500 is an apocalyptic number.

1648500 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 1648500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2760576).

1648500 is an abundant number, since it is smaller than the sum of its proper divisors (3872652).

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

1648500 is a wasteful number, since it uses less digits than its factorization.

1648500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1648500 is about 1283.9392508994. The cubic root of 1648500 is about 118.1307561373.

It can be divided in two parts, 16 and 48500, that added together give a triangular number (48516 = T₃₁₁).

The spelling of 1648500 in words is "one million, six hundred forty-eight thousand, five hundred".