1332800 has 126 divisors (see below), whose sum is σ = 4039362. Its totient is φ = 430080.

The previous prime is 1332797. The next prime is 1332803. The reversal of 1332800 is 82331.

It is an interprime number because it is at equal distance from previous prime (1332797) and next prime (1332803).

It can be written as a sum of positive squares in 3 ways, for example, as 200704 + 1132096 = 448^2 + 1064^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (1332803) 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 17 ways as a sum of consecutive naturals, for example, 78392 + ... + 78408.

2^1332800 is an apocalyptic number.

1332800 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 1332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2019681).

1332800 is an abundant number, since it is smaller than the sum of its proper divisors (2706562).

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

1332800 is a wasteful number, since it uses less digits than its factorization.

1332800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1332800 is about 1154.4695751729. The cubic root of 1332800 is about 110.0495644405.

Multiplying 1332800 by its sum of digits (17), we get a square (22657600 = 4760²).

1332800 divided by its sum of digits (17) gives a square (78400 = 280²).

The spelling of 1332800 in words is "one million, three hundred thirty-two thousand, eight hundred".