13074816 has 64 divisors (see below), whose sum is σ = 35251200. Its totient is φ = 4293120.

The previous prime is 13074799. The next prime is 13074827. The reversal of 13074816 is 61847031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30121 + ... + 30551.

It is an arithmetic number, because the mean of its divisors is an integer number (550800).

Almost surely, 2^13074816 is an apocalyptic number.

13074816 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 13074816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17625600).

13074816 is an abundant number, since it is smaller than the sum of its proper divisors (22176384).

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

13074816 is an equidigital number, since it uses as much as digits as its factorization.

13074816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 13074816 is about 3615.9115033419. The cubic root of 13074816 is about 235.5836766132.

The spelling of 13074816 in words is "thirteen million, seventy-four thousand, eight hundred sixteen".