13381776 has 120 divisors (see below), whose sum is σ = 40557920. Its totient is φ = 4105728.

The previous prime is 13381769. The next prime is 13381777. The reversal of 13381776 is 67718331.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13381776.

It is not an unprimeable number, because it can be changed into a prime (13381777) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183276 + ... + 183348.

Almost surely, 2^13381776 is an apocalyptic number.

13381776 is a gapful number since it is divisible by the number (16) 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 13381776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20278960).

13381776 is an abundant number, since it is smaller than the sum of its proper divisors (27176144).

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

13381776 is a wasteful number, since it uses less digits than its factorization.

13381776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 164 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 13381776 is about 3658.1109879281. The cubic root of 13381776 is about 237.4130488720.

The spelling of 13381776 in words is "thirteen million, three hundred eighty-one thousand, seven hundred seventy-six".