1438080 has 128 divisors (see below), whose sum is σ = 5287680. Its totient is φ = 325632.

The previous prime is 1438069. The next prime is 1438093. The reversal of 1438080 is 808341.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1438080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13387 + ... + 13493.

It is an arithmetic number, because the mean of its divisors is an integer number (41310).

2^1438080 is an apocalyptic number.

1438080 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 1438080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2643840).

1438080 is an abundant number, since it is smaller than the sum of its proper divisors (3849600).

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

1438080 is a wasteful number, since it uses less digits than its factorization.

1438080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1438080 is about 1199.1997331554. The cubic root of 1438080 is about 112.8741125549.

The spelling of 1438080 in words is "one million, four hundred thirty-eight thousand, eighty".