1338880 has 40 divisors (see below), whose sum is σ = 3216312. Its totient is φ = 534528.

The previous prime is 1338877. The next prime is 1338881. The reversal of 1338880 is 888331.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1338881) 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, 2299 + ... + 2821.

2^1338880 is an apocalyptic number.

1338880 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 1338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608156).

1338880 is an abundant number, since it is smaller than the sum of its proper divisors (1877432).

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

1338880 is an frugal number, since it uses more digits than its factorization.

1338880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 1338880 is about 1157.0998228329. The cubic root of 1338880 is about 110.2166528962.

The spelling of 1338880 in words is "one million, three hundred thirty-eight thousand, eight hundred eighty".