8001609 has 48 divisors (see below), whose sum is σ = 13891584. Its totient is φ = 4007520.

The previous prime is 8001607. The next prime is 8001619. The reversal of 8001609 is 9061008.

It is not a de Polignac number, because 8001609 - 2¹ = 8001607 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8001607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119394 + ... + 119460.

It is an arithmetic number, because the mean of its divisors is an integer number (289408).

Almost surely, 2^8001609 is an apocalyptic number.

It is an amenable number.

8001609 is a deficient number, since it is larger than the sum of its proper divisors (5889975).

8001609 is a wasteful number, since it uses less digits than its factorization.

8001609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 8001609 is about 2828.7115441487. The cubic root of 8001609 is about 200.0134074345.

The spelling of 8001609 in words is "eight million, one thousand, six hundred nine".