1830560 has 48 divisors (see below), whose sum is σ = 4585896. Its totient is φ = 688128.

The previous prime is 1830559. The next prime is 1830571. The reversal of 1830560 is 650381.

1830560 = T₃₁₁ + T₃₁₂ + ... + T₃₄₄.

It can be written as a sum of positive squares in 4 ways, for example, as 1547536 + 283024 = 1244^2 + 532^2 .

It is an Ulam number.

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, 2384 + ... + 3056.

2^1830560 is an apocalyptic number.

1830560 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 1830560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2292948).

1830560 is an abundant number, since it is smaller than the sum of its proper divisors (2755336).

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

1830560 is a wasteful number, since it uses less digits than its factorization.

1830560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 1830560 is about 1352.9818919705. The cubic root of 1830560 is about 122.3285954867.

The spelling of 1830560 in words is "one million, eight hundred thirty thousand, five hundred sixty".