905585640 has 64 divisors (see below), whose sum is σ = 2804405760. Its totient is φ = 233698560.

The previous prime is 905585621. The next prime is 905585663. The reversal of 905585640 is 46585509.

It is a super-3 number, since 3×905585640³ (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 905585592 and 905585601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117999 + ... + 125438.

It is an arithmetic number, because the mean of its divisors is an integer number (43818840).

Almost surely, 2^905585640 is an apocalyptic number.

It is an amenable number.

905585640 is an abundant number, since it is smaller than the sum of its proper divisors (1898820120).

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

905585640 is a wasteful number, since it uses less digits than its factorization.

905585640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243482 (or 243478 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The square root of 905585640 is about 30092.9500049430. The cubic root of 905585640 is about 967.4826282694.

The spelling of 905585640 in words is "nine hundred five million, five hundred eighty-five thousand, six hundred forty".