1287616 has 56 divisors (see below), whose sum is σ = 2926080. Its totient is φ = 556800.

The previous prime is 1287613. The next prime is 1287623. The reversal of 1287616 is 6167821.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1287613) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21795 + ... + 21853.

2^1287616 is an apocalyptic number.

1287616 is a gapful number since it is divisible by the number (16) 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 1287616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463040).

1287616 is an abundant number, since it is smaller than the sum of its proper divisors (1638464).

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

1287616 is a wasteful number, since it uses less digits than its factorization.

1287616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 103 counting only the distinct ones).

The product of its digits is 4032, while the sum is 31.

The square root of 1287616 is about 1134.7316863470. The cubic root of 1287616 is about 108.7916227691.

It can be divided in two parts, 128 and 7616, that added together give a square (7744 = 88²).

The spelling of 1287616 in words is "one million, two hundred eighty-seven thousand, six hundred sixteen".