13402688 has 56 divisors (see below), whose sum is σ = 29123640. Its totient is φ = 6082560.

The previous prime is 13402687. The next prime is 13402709. The reversal of 13402688 is 88620431.

It can be written as a sum of positive squares in 4 ways, for example, as 1236544 + 12166144 = 1112^2 + 3488^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13402687) 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 7 ways as a sum of consecutive naturals, for example, 73958 + ... + 74138.

It is an arithmetic number, because the mean of its divisors is an integer number (520065).

Almost surely, 2^13402688 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 13402688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14561820).

13402688 is an abundant number, since it is smaller than the sum of its proper divisors (15720952).

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

13402688 is a wasteful number, since it uses less digits than its factorization.

13402688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 13402688 is about 3660.9681779551. The cubic root of 13402688 is about 237.5366547304.

It can be divided in two parts, 13 and 402688, that multiplied together give a square (5234944 = 2288²).

The spelling of 13402688 in words is "thirteen million, four hundred two thousand, six hundred eighty-eight".