13554816 has 64 divisors (see below), whose sum is σ = 39290400. Its totient is φ = 4106240.

The previous prime is 13554787. The next prime is 13554829. The reversal of 13554816 is 61845531.

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

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 2620 + ... + 5828.

Almost surely, 2^13554816 is an apocalyptic number.

13554816 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 13554816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19645200).

13554816 is an abundant number, since it is smaller than the sum of its proper divisors (25735584).

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

13554816 is a wasteful number, since it uses less digits than its factorization.

13554816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3237 (or 3225 counting only the distinct ones).

The product of its digits is 14400, while the sum is 33.

The square root of 13554816 is about 3681.6865700382. The cubic root of 13554816 is about 238.4320002688.

The spelling of 13554816 in words is "thirteen million, five hundred fifty-four thousand, eight hundred sixteen".