1230880 has 72 divisors (see below), whose sum is σ = 3404268. Its totient is φ = 419328.

The previous prime is 1230871. The next prime is 1230881. The reversal of 1230880 is 880321.

It can be written as a sum of positive squares in 2 ways, for example, as 1192464 + 38416 = 1092^2 + 196^2 .

It is not an unprimeable number, because it can be changed into a prime (1230881) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7762 + ... + 7918.

2^1230880 is an apocalyptic number.

1230880 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 1230880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702134).

1230880 is an abundant number, since it is smaller than the sum of its proper divisors (2173388).

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

1230880 is a wasteful number, since it uses less digits than its factorization.

1230880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 1230880 is about 1109.4503143449. The cubic root of 1230880 is about 107.1696728647.

The spelling of 1230880 in words is "one million, two hundred thirty thousand, eight hundred eighty".