1138080 has 48 divisors (see below), whose sum is σ = 3586464. Its totient is φ = 303360.

The previous prime is 1138061. The next prime is 1138091. The reversal of 1138080 is 808311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 706 + ... + 1665.

It is an arithmetic number, because the mean of its divisors is an integer number (74718).

2^1138080 is an apocalyptic number.

1138080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1138080 is an abundant number, since it is smaller than the sum of its proper divisors (2448384).

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

1138080 is a wasteful number, since it uses less digits than its factorization.

1138080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 1138080 is about 1066.8083239270. The cubic root of 1138080 is about 104.4057130503.

The spelling of 1138080 in words is "one million, one hundred thirty-eight thousand, eighty".