1006560 has 96 divisors (see below), whose sum is σ = 3538080. Its totient is φ = 267264.

The previous prime is 1006559. The next prime is 1006583. The reversal of 1006560 is 656001.

1006560 is a `hidden beast` number, since 10 + 0 + 656 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4204 + ... + 4436.

It is an arithmetic number, because the mean of its divisors is an integer number (36855).

2^1006560 is an apocalyptic number.

1006560 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 1006560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769040).

1006560 is an abundant number, since it is smaller than the sum of its proper divisors (2531520).

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

1006560 is a wasteful number, since it uses less digits than its factorization.

1006560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1006560 is about 1003.2746383718. The cubic root of 1006560 is about 100.2181902506.

The spelling of 1006560 in words is "one million, six thousand, five hundred sixty".