8579601 has 16 divisors (see below), whose sum is σ = 12870720. Its totient is φ = 5718276.

The previous prime is 8579573. The next prime is 8579633. The reversal of 8579601 is 1069758.

It is not a de Polignac number, because 8579601 - 2¹⁸ = 8317457 is a prime.

8579601 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (8579651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226 + ... + 4148.

It is an arithmetic number, because the mean of its divisors is an integer number (804420).

Almost surely, 2^8579601 is an apocalyptic number.

8579601 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

8579601 is a deficient number, since it is larger than the sum of its proper divisors (4291119).

8579601 is an frugal number, since it uses more digits than its factorization.

8579601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3944 (or 3926 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 8579601 is about 2929.0955942065. The cubic root of 8579601 is about 204.7178430358.

It can be divided in two parts, 8579 and 601, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 8579601 in words is "eight million, five hundred seventy-nine thousand, six hundred one".