1290560 has 56 divisors (see below), whose sum is σ = 3185160. Its totient is φ = 497664.

The previous prime is 1290551. The next prime is 1290563. The reversal of 1290560 is 650921.

It can be written as a sum of positive squares in 4 ways, for example, as 473344 + 817216 = 688^2 + 904^2 .

It is a super-2 number, since 2×1290560² = 3331090227200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1290563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11786 + ... + 11894.

2^1290560 is an apocalyptic number.

1290560 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 1290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592580).

1290560 is an abundant number, since it is smaller than the sum of its proper divisors (1894600).

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

1290560 is a wasteful number, since it uses less digits than its factorization.

1290560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 1290560 is about 1136.0281686648. The cubic root of 1290560 is about 108.8744732331.

The spelling of 1290560 in words is "one million, two hundred ninety thousand, five hundred sixty".