1353800 has 48 divisors (see below), whose sum is σ = 3600960. Its totient is φ = 463680.

The previous prime is 1353791. The next prime is 1353809. The reversal of 1353800 is 83531.

It is an interprime number because it is at equal distance from previous prime (1353791) and next prime (1353809).

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

It is not an unprimeable number, because it can be changed into a prime (1353809) 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, 917 + ... + 1883.

It is an arithmetic number, because the mean of its divisors is an integer number (75020).

2^1353800 is an apocalyptic number.

1353800 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 1353800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800480).

1353800 is an abundant number, since it is smaller than the sum of its proper divisors (2247160).

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

1353800 is a wasteful number, since it uses less digits than its factorization.

1353800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 1353800 is about 1163.5291143757. The cubic root of 1353800 is about 110.6245464780.

The spelling of 1353800 in words is "one million, three hundred fifty-three thousand, eight hundred".