13804416 has 96 divisors (see below), whose sum is σ = 41530320. Its totient is φ = 4392960.

The previous prime is 13804411. The next prime is 13804421. The reversal of 13804416 is 61440831.

It is an interprime number because it is at equal distance from previous prime (13804411) and next prime (13804421).

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

It is a super-2 number, since 2×13804416² = 381123802202112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13804416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13804411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26236 + ... + 26756.

Almost surely, 2^13804416 is an apocalyptic number.

13804416 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 13804416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20765160).

13804416 is an abundant number, since it is smaller than the sum of its proper divisors (27725904).

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

13804416 is a wasteful number, since it uses less digits than its factorization.

13804416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13804416 is about 3715.4294502789. The cubic root of 13804416 is about 239.8866131060.

The spelling of 13804416 in words is "thirteen million, eight hundred four thousand, four hundred sixteen".