1329768 has 96 divisors (see below), whose sum is σ = 4155840. Its totient is φ = 380160.

The previous prime is 1329767. The next prime is 1329787. The reversal of 1329768 is 8679231.

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

Its product of digits (18144) is a multiple of the sum of its prime divisors (112).

It is not an unprimeable number, because it can be changed into a prime (1329761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18180 + ... + 18252.

It is an arithmetic number, because the mean of its divisors is an integer number (43290).

2^1329768 is an apocalyptic number.

1329768 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 1329768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2077920).

1329768 is an abundant number, since it is smaller than the sum of its proper divisors (2826072).

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

1329768 is a wasteful number, since it uses less digits than its factorization.

1329768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 112 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 1329768 is about 1153.1556703238. The cubic root of 1329768 is about 109.9660501290.

The spelling of 1329768 in words is "one million, three hundred twenty-nine thousand, seven hundred sixty-eight".