880144 has 10 divisors (see below), whose sum is σ = 1705310. Its totient is φ = 440064.

The previous prime is 880133. The next prime is 880151. The reversal of 880144 is 441088.

880144 = T₁₆₇ + T₁₆₈ + ... + T₂₁₄.

It can be written as a sum of positive squares in only one way, i.e., 831744 + 48400 = 912^2 + 220^2 .

It is an unprimeable number.

880144 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27489 + ... + 27520.

It is an arithmetic number, because the mean of its divisors is an integer number (170531).

2⁸⁸⁰¹⁴⁴ is an apocalyptic number.

It is an amenable number.

880144 is a deficient number, since it is larger than the sum of its proper divisors (825166).

880144 is a wasteful number, since it uses less digits than its factorization.

880144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55017 (or 55011 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 880144 is about 938.1599010830. The cubic root of 880144 is about 95.8336238597.

It can be divided in two parts, 880 and 144, that added together give a 10-th power (1024 = 2¹⁰).

The spelling of 880144 in words is "eight hundred eighty thousand, one hundred forty-four".