1663584 has 96 divisors (see below), whose sum is σ = 4967424. Its totient is φ = 483840.

The previous prime is 1663579. The next prime is 1663589. The reversal of 1663584 is 4853661.

It is an interprime number because it is at equal distance from previous prime (1663579) and next prime (1663589).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1663589) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38667 + ... + 38709.

It is an arithmetic number, because the mean of its divisors is an integer number (51744).

2^1663584 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 1663584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2483712).

1663584 is an abundant number, since it is smaller than the sum of its proper divisors (3303840).

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

1663584 is a wasteful number, since it uses less digits than its factorization.

1663584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 92 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 1663584 is about 1289.7999844937. The cubic root of 1663584 is about 118.4899669264.

The spelling of 1663584 in words is "one million, six hundred sixty-three thousand, five hundred eighty-four".