13263936 has 112 divisors (see below), whose sum is σ = 40965120. Its totient is φ = 3709440.

The previous prime is 13263931. The next prime is 13263941. The reversal of 13263936 is 63936231.

It is an interprime number because it is at equal distance from previous prime (13263931) and next prime (13263941).

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 13263897 and 13263906.

It is not an unprimeable number, because it can be changed into a prime (13263931) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95355 + ... + 95493.

It is an arithmetic number, because the mean of its divisors is an integer number (365760).

Almost surely, 2^13263936 is an apocalyptic number.

13263936 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 13263936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20482560).

13263936 is an abundant number, since it is smaller than the sum of its proper divisors (27701184).

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

13263936 is a wasteful number, since it uses less digits than its factorization.

13263936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 222 counting only the distinct ones).

The product of its digits is 17496, while the sum is 33.

The square root of 13263936 is about 3641.9686983828. The cubic root of 13263936 is about 236.7141062961.

The spelling of 13263936 in words is "thirteen million, two hundred sixty-three thousand, nine hundred thirty-six".