585138540 has 48 divisors (see below), whose sum is σ = 1872444672. Its totient is φ = 133745856.

The previous prime is 585138523. The next prime is 585138553. The reversal of 585138540 is 45831585.

It is a super-2 number, since 2×585138540² = 684774221986663200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 696174 + ... + 697013.

It is an arithmetic number, because the mean of its divisors is an integer number (39009264).

Almost surely, 2^585138540 is an apocalyptic number.

It is an amenable number.

585138540 is an abundant number, since it is smaller than the sum of its proper divisors (1287306132).

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

585138540 is a wasteful number, since it uses less digits than its factorization.

585138540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393206 (or 1393204 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 39.

The square root of 585138540 is about 24189.6370373761. The cubic root of 585138540 is about 836.4106767164.

The spelling of 585138540 in words is "five hundred eighty-five million, one hundred thirty-eight thousand, five hundred forty".