10713584 has 40 divisors (see below), whose sum is σ = 24760320. Its totient is φ = 4390848.

The previous prime is 10713583. The next prime is 10713611. The reversal of 10713584 is 48531701.

It is a super-2 number, since 2×10713584² = 229561764250112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10713581) 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 7 ways as a sum of consecutive naturals, for example, 497 + ... + 4655.

It is an arithmetic number, because the mean of its divisors is an integer number (619008).

Almost surely, 2^10713584 is an apocalyptic number.

10713584 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10713584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12380160).

10713584 is an abundant number, since it is smaller than the sum of its proper divisors (14046736).

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

10713584 is a wasteful number, since it uses less digits than its factorization.

10713584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4197 (or 4191 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 10713584 is about 3273.1611631571. The cubic root of 10713584 is about 220.4507562591.

The spelling of 10713584 in words is "ten million, seven hundred thirteen thousand, five hundred eighty-four".