1809648 has 80 divisors (see below), whose sum is σ = 5356800. Its totient is φ = 584640.

The previous prime is 1809631. The next prime is 1809671. The reversal of 1809648 is 8469081.

It is a happy number.

1809648 is a `hidden beast` number, since 1 + 8 + 0 + 9 + 648 = 666.

It is a super-3 number, since 3×1809648³ = 17778846333465317376, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25453 + ... + 25523.

It is an arithmetic number, because the mean of its divisors is an integer number (66960).

2^1809648 is an apocalyptic number.

1809648 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 1809648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678400).

1809648 is an abundant number, since it is smaller than the sum of its proper divisors (3547152).

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

1809648 is a wasteful number, since it uses less digits than its factorization.

1809648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1809648 is about 1345.2315785767. The cubic root of 1809648 is about 121.8609901056.

The spelling of 1809648 in words is "one million, eight hundred nine thousand, six hundred forty-eight".