1228968 has 72 divisors (see below), whose sum is σ = 3639870. Its totient is φ = 374400.

The previous prime is 1228963. The next prime is 1228987. The reversal of 1228968 is 8698221.

It can be written as a sum of positive squares in 3 ways, for example, as 956484 + 272484 = 978^2 + 522^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1228961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12118 + ... + 12218.

2^1228968 is an apocalyptic number.

1228968 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 1228968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819935).

1228968 is an abundant number, since it is smaller than the sum of its proper divisors (2410902).

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

1228968 is a wasteful number, since it uses less digits than its factorization.

1228968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 119 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 1228968 is about 1108.5882914770. The cubic root of 1228968 is about 107.1141530726.

The spelling of 1228968 in words is "one million, two hundred twenty-eight thousand, nine hundred sixty-eight".