13636896 has 144 divisors (see below), whose sum is σ = 45045504. Its totient is φ = 3580416.

The previous prime is 13636877. The next prime is 13636897. The reversal of 13636896 is 69863631.

It is a super-3 number, since 3×13636896³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (13636897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61041 + ... + 61263.

It is an arithmetic number, because the mean of its divisors is an integer number (312816).

Almost surely, 2^13636896 is an apocalyptic number.

13636896 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 13636896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22522752).

13636896 is an abundant number, since it is smaller than the sum of its proper divisors (31408608).

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

13636896 is a wasteful number, since it uses less digits than its factorization.

13636896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 248 counting only the distinct ones).

The product of its digits is 139968, while the sum is 42.

The square root of 13636896 is about 3692.8168110536. The cubic root of 13636896 is about 238.9123001233.

The spelling of 13636896 in words is "thirteen million, six hundred thirty-six thousand, eight hundred ninety-six".