1026560 has 40 divisors (see below), whose sum is σ = 2467476. Its totient is φ = 409600.

The previous prime is 1026547. The next prime is 1026563. The reversal of 1026560 is 656201.

It can be written as a sum of positive squares in 2 ways, for example, as 952576 + 73984 = 976^2 + 272^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1026563) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2360 + ... + 2760.

2^1026560 is an apocalyptic number.

1026560 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 1026560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233738).

1026560 is an abundant number, since it is smaller than the sum of its proper divisors (1440916).

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

1026560 is an frugal number, since it uses more digits than its factorization.

1026560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 1026560 is about 1013.1929727352. The cubic root of 1026560 is about 100.8776088297.

The spelling of 1026560 in words is "one million, twenty-six thousand, five hundred sixty".