13458816 has 96 divisors (see below), whose sum is σ = 44288400. Its totient is φ = 3843072.

The previous prime is 13458799. The next prime is 13458827. The reversal of 13458816 is 61885431.

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

It is a super-2 number, since 2×13458816² = 362279456243712, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7230 + ... + 8898.

Almost surely, 2^13458816 is an apocalyptic number.

13458816 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 13458816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22144200).

13458816 is an abundant number, since it is smaller than the sum of its proper divisors (30829584).

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

13458816 is a wasteful number, since it uses less digits than its factorization.

13458816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1681 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 13458816 is about 3668.6259007972. The cubic root of 13458816 is about 237.8677795824.

The spelling of 13458816 in words is "thirteen million, four hundred fifty-eight thousand, eight hundred sixteen".