52416 has 84 divisors (see below), whose sum is σ = 184912. Its totient is φ = 13824.

The previous prime is 52391. The next prime is 52433. The reversal of 52416 is 61425.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 52416.

It is an unprimeable number.

52416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4026 + ... + 4038.

2⁵²⁴¹⁶ is an apocalyptic number.

52416 is a gapful number since it is divisible by the number (56) 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 52416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92456).

52416 is an abundant number, since it is smaller than the sum of its proper divisors (132496).

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

52416 is a wasteful number, since it uses less digits than its factorization.

52416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 25 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 52416 is about 228.9454083401. The cubic root of 52416 is about 37.4243809494.

Subtracting 52416 from its reverse (61425), we obtain a palindrome (9009).

The spelling of 52416 in words is "fifty-two thousand, four hundred sixteen".