13462368 has 96 divisors (see below), whose sum is σ = 38265696. Its totient is φ = 4128768.

The previous prime is 13462357. The next prime is 13462369. The reversal of 13462368 is 86326431.

13462368 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (20736) is a multiple of the sum of its prime factors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13462369) 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, 119080 + ... + 119192.

It is an arithmetic number, because the mean of its divisors is an integer number (398601).

Almost surely, 2^13462368 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 13462368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19132848).

13462368 is an abundant number, since it is smaller than the sum of its proper divisors (24803328).

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

13462368 is a wasteful number, since it uses less digits than its factorization.

13462368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 208 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 13462368 is about 3669.1099738220. The cubic root of 13462368 is about 237.8887034644. Note that the first 3 decimals are identical.

Adding to 13462368 its reverse (86326431), we get a palindrome (99788799).

The spelling of 13462368 in words is "thirteen million, four hundred sixty-two thousand, three hundred sixty-eight".