906585138 has 24 divisors (see below), whose sum is σ = 1964851200. Its totient is φ = 302105304.

The previous prime is 906585131. The next prime is 906585139. The reversal of 906585138 is 831585609.

It is a super-2 number, since 2×906585138² = 1643793224884958088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 906585093 and 906585102.

It is not an unprimeable number, because it can be changed into a prime (906585131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87223 + ... + 97061.

It is an arithmetic number, because the mean of its divisors is an integer number (81868800).

Almost surely, 2^906585138 is an apocalyptic number.

906585138 is an abundant number, since it is smaller than the sum of its proper divisors (1058266062).

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

906585138 is a wasteful number, since it uses less digits than its factorization.

906585138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14966 (or 14963 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 906585138 is about 30109.5522716629. The cubic root of 906585138 is about 967.8384353730.

The spelling of 906585138 in words is "nine hundred six million, five hundred eighty-five thousand, one hundred thirty-eight".