1383648 has 96 divisors (see below), whose sum is σ = 4354560. Its totient is φ = 376320.

The previous prime is 1383607. The next prime is 1383653. The reversal of 1383648 is 8463831.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

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, 19453 + ... + 19523.

It is an arithmetic number, because the mean of its divisors is an integer number (45360).

2^1383648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1383648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177280).

1383648 is an abundant number, since it is smaller than the sum of its proper divisors (2970912).

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

1383648 is a wasteful number, since it uses less digits than its factorization.

1383648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 112 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 1383648 is about 1176.2856795864. The cubic root of 1383648 is about 111.4316445100.

It can be divided in two parts, 13836 and 48, that multiplied together give a triangular number (664128 = T₁₁₅₂).

The spelling of 1383648 in words is "one million, three hundred eighty-three thousand, six hundred forty-eight".