1006560460 has 48 divisors (see below), whose sum is σ = 2164611456. Its totient is φ = 392988672.

The previous prime is 1006560437. The next prime is 1006560461. The reversal of 1006560460 is 640656001.

It is not an unprimeable number, because it can be changed into a prime (1006560461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 405784 + ... + 408256.

It is an arithmetic number, because the mean of its divisors is an integer number (45096072).

Almost surely, 2^1006560460 is an apocalyptic number.

1006560460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006560460 is an abundant number, since it is smaller than the sum of its proper divisors (1158050996).

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

1006560460 is a wasteful number, since it uses less digits than its factorization.

1006560460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2962 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 1006560460 is about 31726.3370088638. The cubic root of 1006560460 is about 1002.1820551720.

The spelling of 1006560460 in words is "one billion, six million, five hundred sixty thousand, four hundred sixty".