1355680 has 48 divisors (see below), whose sum is σ = 3303720. Its totient is φ = 525312.

The previous prime is 1355677. The next prime is 1355681. The reversal of 1355680 is 865531.

It can be written as a sum of positive squares in 4 ways, for example, as 1354896 + 784 = 1164^2 + 28^2 .

It is not an unprimeable number, because it can be changed into a prime (1355681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5806 + ... + 6034.

2^1355680 is an apocalyptic number.

1355680 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 1355680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651860).

1355680 is an abundant number, since it is smaller than the sum of its proper divisors (1948040).

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

1355680 is a wasteful number, since it uses less digits than its factorization.

1355680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 1355680 is about 1164.3367210562. The cubic root of 1355680 is about 110.6757302943.

The spelling of 1355680 in words is "one million, three hundred fifty-five thousand, six hundred eighty".