13620416 has 56 divisors (see below), whose sum is σ = 29748480. Its totient is φ = 6158592.

The previous prime is 13620407. The next prime is 13620421. The reversal of 13620416 is 61402631.

It is a happy number.

13620416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×13620416³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 13620391 and 13620400.

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, 27725 + ... + 28211.

Almost surely, 2^13620416 is an apocalyptic number.

13620416 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 13620416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14874240).

13620416 is an abundant number, since it is smaller than the sum of its proper divisors (16128064).

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

13620416 is a wasteful number, since it uses less digits than its factorization.

13620416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 13620416 is about 3690.5847775116. The cubic root of 13620416 is about 238.8160205932.

The spelling of 13620416 in words is "thirteen million, six hundred twenty thousand, four hundred sixteen".