1224288 has 96 divisors (see below), whose sum is σ = 3880800. Its totient is φ = 373248.

The previous prime is 1224287. The next prime is 1224299. The reversal of 1224288 is 8824221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1224288² = 2997762213888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 (1224281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11178 + ... + 11286.

It is an arithmetic number, because the mean of its divisors is an integer number (40425).

2^1224288 is an apocalyptic number.

1224288 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 1224288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940400).

1224288 is an abundant number, since it is smaller than the sum of its proper divisors (2656512).

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

1224288 is a wasteful number, since it uses less digits than its factorization.

1224288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 127 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 1224288 is about 1106.4754854944. The cubic root of 1224288 is about 106.9780139413.

The spelling of 1224288 in words is "one million, two hundred twenty-four thousand, two hundred eighty-eight".