13579248 has 40 divisors (see below), whose sum is σ = 35439696. Its totient is φ = 4480000.

The previous prime is 13579219. The next prime is 13579249. The reversal of 13579248 is 84297531.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13579249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3448 + ... + 6248.

Almost surely, 2^13579248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13579248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17719848).

13579248 is an abundant number, since it is smaller than the sum of its proper divisors (21860448).

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

13579248 is a wasteful number, since it uses less digits than its factorization.

13579248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2913 (or 2907 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 13579248 is about 3685.0031207585. The cubic root of 13579248 is about 238.5751689191.

The spelling of 13579248 in words is "thirteen million, five hundred seventy-nine thousand, two hundred forty-eight".