1352800 has 72 divisors (see below), whose sum is σ = 3515400. Its totient is φ = 506880.

The previous prime is 1352783. The next prime is 1352803. The reversal of 1352800 is 82531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1352803) 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 11 ways as a sum of consecutive naturals, for example, 15156 + ... + 15244.

It is an arithmetic number, because the mean of its divisors is an integer number (48825).

2^1352800 is an apocalyptic number.

1352800 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 1352800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757700).

1352800 is an abundant number, since it is smaller than the sum of its proper divisors (2162600).

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

1352800 is a wasteful number, since it uses less digits than its factorization.

1352800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 1352800 is about 1163.0993078839. The cubic root of 1352800 is about 110.5973017358.

It can be divided in two parts, 1352 and 800, that multiplied together give a square (1081600 = 1040²).

The spelling of 1352800 in words is "one million, three hundred fifty-two thousand, eight hundred".