13252416 has 56 divisors (see below), whose sum is σ = 36600384. Its totient is φ = 4224000.

The previous prime is 13252409. The next prime is 13252417. The reversal of 13252416 is 61425231.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13252417) 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, 2916 + ... + 5916.

Almost surely, 2^13252416 is an apocalyptic number.

13252416 is a gapful number since it is divisible by the number (16) 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 13252416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18300192).

13252416 is an abundant number, since it is smaller than the sum of its proper divisors (23347968).

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

13252416 is a wasteful number, since it uses less digits than its factorization.

13252416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3039 (or 3029 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 13252416 is about 3640.3867926362. The cubic root of 13252416 is about 236.6455560971.

Adding to 13252416 its reverse (61425231), we get a palindrome (74677647).

It can be divided in two parts, 1325 and 2416, that added together give a triangular number (3741 = T₈₆).

The spelling of 13252416 in words is "thirteen million, two hundred fifty-two thousand, four hundred sixteen".