1663564 has 48 divisors (see below), whose sum is σ = 3628800. Its totient is φ = 651456.

The previous prime is 1663549. The next prime is 1663579. The reversal of 1663564 is 4653661.

It is an interprime number because it is at equal distance from previous prime (1663549) and next prime (1663579).

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, 28167 + ... + 28225.

It is an arithmetic number, because the mean of its divisors is an integer number (75600).

2^1663564 is an apocalyptic number.

1663564 is a gapful number since it is divisible by the number (14) 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 1663564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814400).

1663564 is an abundant number, since it is smaller than the sum of its proper divisors (1965236).

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

1663564 is a wasteful number, since it uses less digits than its factorization.

1663564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 140 counting only the distinct ones).

The product of its digits is 12960, while the sum is 31.

The square root of 1663564 is about 1289.7922313303. The cubic root of 1663564 is about 118.4894920863.

The spelling of 1663564 in words is "one million, six hundred sixty-three thousand, five hundred sixty-four".