1005461564 has 12 divisors (see below), whose sum is σ = 1816317888. Its totient is φ = 486513600.

The previous prime is 1005461557. The next prime is 1005461591. The reversal of 1005461564 is 4651645001.

It is a self number, because there is not a number n which added to its sum of digits gives 1005461564.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4054157 + ... + 4054404.

It is an arithmetic number, because the mean of its divisors is an integer number (151359824).

Almost surely, 2^1005461564 is an apocalyptic number.

It is an amenable number.

1005461564 is a deficient number, since it is larger than the sum of its proper divisors (810856324).

1005461564 is a wasteful number, since it uses less digits than its factorization.

1005461564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8108596 (or 8108594 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 1005461564 is about 31709.0139234887. The cubic root of 1005461564 is about 1001.8172170552.

The spelling of 1005461564 in words is "one billion, five million, four hundred sixty-one thousand, five hundred sixty-four".