13754016 has 48 divisors (see below), whose sum is σ = 40118400. Its totient is φ = 4584384.

The previous prime is 13754011. The next prime is 13754017. The reversal of 13754016 is 61045731.

13754016 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×13754016² = 378345912256512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13754011) 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, 7096 + ... + 8823.

It is an arithmetic number, because the mean of its divisors is an integer number (835800).

Almost surely, 2^13754016 is an apocalyptic number.

13754016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13754016 is an abundant number, since it is smaller than the sum of its proper divisors (26364384).

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

13754016 is a wasteful number, since it uses less digits than its factorization.

13754016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15938 (or 15924 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 13754016 is about 3708.6407213425. The cubic root of 13754016 is about 239.5943146338.

Adding to 13754016 its reverse (61045731), we get a palindrome (74799747).

The spelling of 13754016 in words is "thirteen million, seven hundred fifty-four thousand, sixteen".