13768416 has 36 divisors (see below), whose sum is σ = 39154752. Its totient is φ = 4589376.

The previous prime is 13768411. The next prime is 13768441. The reversal of 13768416 is 61486731.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13768411) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23616 + ... + 24191.

It is an arithmetic number, because the mean of its divisors is an integer number (1087632).

Almost surely, 2^13768416 is an apocalyptic number.

13768416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13768416 is an abundant number, since it is smaller than the sum of its proper divisors (25386336).

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

13768416 is a wasteful number, since it uses less digits than its factorization.

13768416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47823 (or 47812 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 13768416 is about 3710.5816255676. The cubic root of 13768416 is about 239.6779012450.

The spelling of 13768416 in words is "thirteen million, seven hundred sixty-eight thousand, four hundred sixteen".