13977408 has 56 divisors (see below), whose sum is σ = 37864288. Its totient is φ = 4548096.

The previous prime is 13977401. The next prime is 13977419. The reversal of 13977408 is 80477931.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13977401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7410 + ... + 9102.

It is an arithmetic number, because the mean of its divisors is an integer number (676148).

Almost surely, 2^13977408 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 13977408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18932144).

13977408 is an abundant number, since it is smaller than the sum of its proper divisors (23886880).

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

13977408 is a wasteful number, since it uses less digits than its factorization.

13977408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1751 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 13977408 is about 3738.6371848576. The cubic root of 13977408 is about 240.8845139194.

The spelling of 13977408 in words is "thirteen million, nine hundred seventy-seven thousand, four hundred eight".