1287288 has 48 divisors (see below), whose sum is σ = 3673800. Its totient is φ = 406080.

The previous prime is 1287239. The next prime is 1287289. The reversal of 1287288 is 8827821.

It is a super-2 number, since 2×1287288² = 3314220789888, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1287289) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 898 + ... + 1838.

2^1287288 is an apocalyptic number.

1287288 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 1287288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836900).

1287288 is an abundant number, since it is smaller than the sum of its proper divisors (2386512).

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

1287288 is a wasteful number, since it uses less digits than its factorization.

1287288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 965 counting only the distinct ones).

The product of its digits is 14336, while the sum is 36.

The square root of 1287288 is about 1134.5871495835. The cubic root of 1287288 is about 108.7823843308.

The spelling of 1287288 in words is "one million, two hundred eighty-seven thousand, two hundred eighty-eight".