1398080 has 56 divisors (see below), whose sum is σ = 3538728. Its totient is φ = 524288.

The previous prime is 1398079. The next prime is 1398083. The reversal of 1398080 is 808931.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 719104 + 678976 = 848^2 + 824^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 4 and base 11.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1398083) by changing a digit.

In principle, a polygon with 1398080 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5312 + ... + 5568.

2^1398080 is an apocalyptic number.

1398080 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 1398080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769364).

1398080 is an abundant number, since it is smaller than the sum of its proper divisors (2140648).

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

1398080 is a wasteful number, since it uses less digits than its factorization.

1398080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 1398080 is about 1182.4043301680. The cubic root of 1398080 is about 111.8177307461.

The spelling of 1398080 in words is "one million, three hundred ninety-eight thousand, eighty".