1329264 has 80 divisors (see below), whose sum is σ = 4062240. Its totient is φ = 414720.

The previous prime is 1329241. The next prime is 1329269. The reversal of 1329264 is 4629231.

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 (1329269) 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 15 ways as a sum of consecutive naturals, for example, 7254 + ... + 7434.

It is an arithmetic number, because the mean of its divisors is an integer number (50778).

2^1329264 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 1329264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031120).

1329264 is an abundant number, since it is smaller than the sum of its proper divisors (2732976).

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

1329264 is a wasteful number, since it uses less digits than its factorization.

1329264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 203 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 1329264 is about 1152.9371188404. The cubic root of 1329264 is about 109.9521555016.

The spelling of 1329264 in words is "one million, three hundred twenty-nine thousand, two hundred sixty-four".