13496952 has 96 divisors (see below), whose sum is σ = 41040000. Its totient is φ = 3681216.

The previous prime is 13496947. The next prime is 13496953. The reversal of 13496952 is 25969431.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13496952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13496953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26799 + ... + 27297.

It is an arithmetic number, because the mean of its divisors is an integer number (427500).

Almost surely, 2^13496952 is an apocalyptic number.

13496952 is a gapful number since it is divisible by the number (12) 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 13496952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20520000).

13496952 is an abundant number, since it is smaller than the sum of its proper divisors (27543048).

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

13496952 is a wasteful number, since it uses less digits than its factorization.

13496952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 534 counting only the distinct ones).

The product of its digits is 58320, while the sum is 39.

The square root of 13496952 is about 3673.8198104970. The cubic root of 13496952 is about 238.0922364523.

The spelling of 13496952 in words is "thirteen million, four hundred ninety-six thousand, nine hundred fifty-two".