8724560 has 40 divisors (see below), whose sum is σ = 21847560. Its totient is φ = 3220992.

The previous prime is 8724559. The next prime is 8724589. The reversal of 8724560 is 654278.

It can be written as a sum of positive squares in 4 ways, for example, as 929296 + 7795264 = 964^2 + 2792^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×8724560² = 152235894387200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3155 + ... + 5234.

It is an arithmetic number, because the mean of its divisors is an integer number (546189).

Almost surely, 2^8724560 is an apocalyptic number.

8724560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8724560 is an abundant number, since it is smaller than the sum of its proper divisors (13123000).

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

8724560 is a wasteful number, since it uses less digits than its factorization.

8724560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8415 (or 8409 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 8724560 is about 2953.7366165588. The cubic root of 8724560 is about 205.8643654233.

The spelling of 8724560 in words is "eight million, seven hundred twenty-four thousand, five hundred sixty".