1288824 has 32 divisors (see below), whose sum is σ = 3265920. Its totient is φ = 423776.

The previous prime is 1288823. The next prime is 1288829. The reversal of 1288824 is 4288821.

It is a super-2 number, since 2×1288824² = 3322134605952, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1669 + ... + 2315.

It is an arithmetic number, because the mean of its divisors is an integer number (102060).

2^1288824 is an apocalyptic number.

It is an amenable number.

1288824 is an abundant number, since it is smaller than the sum of its proper divisors (1977096).

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

1288824 is a wasteful number, since it uses less digits than its factorization.

1288824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 735 counting only the distinct ones).

The product of its digits is 8192, while the sum is 33.

The square root of 1288824 is about 1135.2638459847. The cubic root of 1288824 is about 108.8256337381.

It can be divided in two parts, 1288 and 824, that added together give a palindrome (2112).

The spelling of 1288824 in words is "one million, two hundred eighty-eight thousand, eight hundred twenty-four".