1328600 has 96 divisors (see below), whose sum is σ = 3853920. Its totient is φ = 414720.

The previous prime is 1328573. The next prime is 1328603. The reversal of 1328600 is 68231.

1328600 = T₁₀₅ + T₁₀₆ + ... + T₂₀₈.

1328600 is nontrivially palindromic in base 9.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328603) 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, 18164 + ... + 18236.

It is an arithmetic number, because the mean of its divisors is an integer number (40145).

2^1328600 is an apocalyptic number.

1328600 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 1328600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926960).

1328600 is an abundant number, since it is smaller than the sum of its proper divisors (2525320).

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

1328600 is a wasteful number, since it uses less digits than its factorization.

1328600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 1328600 is about 1152.6491226735. The cubic root of 1328600 is about 109.9338445187.

1328600 divided by its sum of digits (20) gives a triangular number (66430 = T₃₆₄).

The spelling of 1328600 in words is "one million, three hundred twenty-eight thousand, six hundred".