1287648 has 72 divisors (see below), whose sum is σ = 3891888. Its totient is φ = 402432.

The previous prime is 1287623. The next prime is 1287661. The reversal of 1287648 is 8467821.

1287648 is a `hidden beast` number, since 1 + 2 + 8 + 7 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nialpdrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4765 + ... + 5027.

It is an arithmetic number, because the mean of its divisors is an integer number (54054).

2^1287648 is an apocalyptic number.

1287648 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 1287648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945944).

1287648 is an abundant number, since it is smaller than the sum of its proper divisors (2604240).

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

1287648 is a wasteful number, since it uses less digits than its factorization.

1287648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 285 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 1287648 is about 1134.7457865090. The cubic root of 1287648 is about 108.7925239961.

It can be divided in two parts, 128 and 7648, that added together give a 5-th power (7776 = 6⁵).

The spelling of 1287648 in words is "one million, two hundred eighty-seven thousand, six hundred forty-eight".