13468032 has 96 divisors (see below), whose sum is σ = 40283880. Its totient is φ = 4478976.

The previous prime is 13468031. The next prime is 13468033. The reversal of 13468032 is 23086431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13468031) and next prime (13468033).

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13467987 and 13468005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13468031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30888 + ... + 31320.

Almost surely, 2^13468032 is an apocalyptic number.

13468032 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 13468032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20141940).

13468032 is an abundant number, since it is smaller than the sum of its proper divisors (26815848).

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

13468032 is an frugal number, since it uses more digits than its factorization.

13468032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 13468032 is about 3669.8817419639. The cubic root of 13468032 is about 237.9220609614.

The spelling of 13468032 in words is "thirteen million, four hundred sixty-eight thousand, thirty-two".