13406688 has 96 divisors (see below), whose sum is σ = 39916800. Its totient is φ = 4376448.

The previous prime is 13406651. The next prime is 13406711. The reversal of 13406688 is 88660431.

It is a happy number.

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50845 + ... + 51107.

It is an arithmetic number, because the mean of its divisors is an integer number (415800).

Almost surely, 2^13406688 is an apocalyptic number.

13406688 is a gapful number since it is divisible by the number (18) 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 13406688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19958400).

13406688 is an abundant number, since it is smaller than the sum of its proper divisors (26510112).

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

13406688 is a wasteful number, since it uses less digits than its factorization.

13406688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 13406688 is about 3661.5144407745. The cubic root of 13406688 is about 237.5602831277.

Adding to 13406688 its product of nonzero digits (27648), we get a triangular number (13434336 = T₅₁₈₃).

The spelling of 13406688 in words is "thirteen million, four hundred six thousand, six hundred eighty-eight".