906160409 has 24 divisors (see below), whose sum is σ = 1157674560. Its totient is φ = 694092960.

The previous prime is 906160399. The next prime is 906160427. The reversal of 906160409 is 904061609.

It is not a de Polignac number, because 906160409 - 2²⁰ = 905111833 is a prime.

It is a super-2 number, since 2×906160409² = 1642253373678094562, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (906160439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40907 + ... + 59039.

It is an arithmetic number, because the mean of its divisors is an integer number (48236440).

Almost surely, 2^906160409 is an apocalyptic number.

It is an amenable number.

906160409 is a deficient number, since it is larger than the sum of its proper divisors (251514151).

906160409 is a wasteful number, since it uses less digits than its factorization.

906160409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18221 (or 18210 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 906160409 is about 30102.4983846856. The cubic root of 906160409 is about 967.6872698454.

The spelling of 906160409 in words is "nine hundred six million, one hundred sixty thousand, four hundred nine".