1283968 has 32 divisors (see below), whose sum is σ = 2925360. Its totient is φ = 549888.

The previous prime is 1283957. The next prime is 1283969. The reversal of 1283968 is 8693821.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1283969) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 180 + ... + 1612.

2^1283968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1283968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462680).

1283968 is an abundant number, since it is smaller than the sum of its proper divisors (1641392).

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

1283968 is an equidigital number, since it uses as much as digits as its factorization.

1283968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1442 counting only the distinct ones).

The product of its digits is 20736, while the sum is 37.

The square root of 1283968 is about 1133.1231177591. The cubic root of 1283968 is about 108.6887848554.

It can be divided in two parts, 128 and 3968, that added together give a 12-th power (4096 = 2¹²).

The spelling of 1283968 in words is "one million, two hundred eighty-three thousand, nine hundred sixty-eight".