1348800 has 84 divisors (see below), whose sum is σ = 4440936. Its totient is φ = 358400.

The previous prime is 1348793. The next prime is 1348843. The reversal of 1348800 is 88431.

It is a super-2 number, since 2×1348800² = 3638522880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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, 4660 + ... + 4940.

2^1348800 is an apocalyptic number.

1348800 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 1348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2220468).

1348800 is an abundant number, since it is smaller than the sum of its proper divisors (3092136).

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

1348800 is a wasteful number, since it uses less digits than its factorization.

1348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1348800 is about 1161.3784912766. The cubic root of 1348800 is about 110.4881883050.

The spelling of 1348800 in words is "one million, three hundred forty-eight thousand, eight hundred".