1355200 has 126 divisors (see below), whose sum is σ = 4188968. Its totient is φ = 422400.

The previous prime is 1355191. The next prime is 1355219. The reversal of 1355200 is 25531.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 123195 + ... + 123205.

2^1355200 is an apocalyptic number.

1355200 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 1355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2094484).

1355200 is an abundant number, since it is smaller than the sum of its proper divisors (2833768).

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

1355200 is a wasteful number, since it uses less digits than its factorization.

1355200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 1355200 is about 1164.1305768684. The cubic root of 1355200 is about 110.6626665866.

It can be divided in two parts, 135 and 5200, that added together give a palindrome (5335).

The spelling of 1355200 in words is "one million, three hundred fifty-five thousand, two hundred".