13408948 has 54 divisors (see below), whose sum is σ = 28701666. Its totient is φ = 5461344.

The previous prime is 13408939. The next prime is 13408949. The reversal of 13408948 is 84980431.

13408948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 13046544 + 362404 = 3612^2 + 602^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13408949) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 311815 + ... + 311857.

Almost surely, 2^13408948 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 13408948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14350833).

13408948 is an abundant number, since it is smaller than the sum of its proper divisors (15292718).

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

13408948 is a wasteful number, since it uses less digits than its factorization.

13408948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 13408948 is about 3661.8230432395. The cubic root of 13408948 is about 237.5736310944.

Multiplying 13408948 by its sum of digits (37), we get a square (496131076 = 22274²).

13408948 divided by its sum of digits (37) gives a square (362404 = 602²).

The spelling of 13408948 in words is "thirteen million, four hundred eight thousand, nine hundred forty-eight".