13361376 has 96 divisors (see below), whose sum is σ = 40884480. Its totient is φ = 3741696.

The previous prime is 13361357. The next prime is 13361377. The reversal of 13361376 is 67316331.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×13361376² = 357052737226752, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13361377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39480 + ... + 39816.

It is an arithmetic number, because the mean of its divisors is an integer number (425880).

Almost surely, 2^13361376 is an apocalyptic number.

13361376 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 13361376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20442240).

13361376 is an abundant number, since it is smaller than the sum of its proper divisors (27523104).

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

13361376 is a wasteful number, since it uses less digits than its factorization.

13361376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 408 counting only the distinct ones).

The product of its digits is 6804, while the sum is 30.

The square root of 13361376 is about 3655.3216000784. The cubic root of 13361376 is about 237.2923451779.

The spelling of 13361376 in words is "thirteen million, three hundred sixty-one thousand, three hundred seventy-six".