1358080 has 36 divisors (see below), whose sum is σ = 3256092. Its totient is φ = 542720.

The previous prime is 1358059. The next prime is 1358083. The reversal of 1358080 is 808531.

It can be written as a sum of positive squares in 2 ways, for example, as 692224 + 665856 = 832^2 + 816^2 .

It is not an unprimeable number, because it can be changed into a prime (1358083) 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 3 ways as a sum of consecutive naturals, for example, 750 + ... + 1810.

It is an arithmetic number, because the mean of its divisors is an integer number (90447).

2^1358080 is an apocalyptic number.

1358080 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 1358080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628046).

1358080 is an abundant number, since it is smaller than the sum of its proper divisors (1898012).

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

1358080 is an equidigital number, since it uses as much as digits as its factorization.

1358080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 1358080 is about 1165.3668950163. The cubic root of 1358080 is about 110.7410026203.

The spelling of 1358080 in words is "one million, three hundred fifty-eight thousand, eighty".