1328000 has 64 divisors (see below), whose sum is σ = 3341520. Its totient is φ = 524800.

The previous prime is 1327999. The next prime is 1328003. The reversal of 1328000 is 8231.

It is a tau number, because it is divible by the number of its divisors (64).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15959 + ... + 16041.

2^1328000 is an apocalyptic number.

1328000 is a gapful number since it is divisible by the number (10) 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 1328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670760).

1328000 is an abundant number, since it is smaller than the sum of its proper divisors (2013520).

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

1328000 is an frugal number, since it uses more digits than its factorization.

1328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1328000 is about 1152.3888232710. The cubic root of 1328000 is about 109.9172932019.

The spelling of 1328000 in words is "one million, three hundred twenty-eight thousand".