62816 has 24 divisors (see below), whose sum is σ = 134064. Its totient is φ = 28800.

The previous prime is 62801. The next prime is 62819. The reversal of 62816 is 61826.

62816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 62791 and 62800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62819) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 341 + ... + 491.

It is an arithmetic number, because the mean of its divisors is an integer number (5586).

2⁶²⁸¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 62816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67032).

62816 is an abundant number, since it is smaller than the sum of its proper divisors (71248).

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

62816 is a wasteful number, since it uses less digits than its factorization.

62816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 166 counting only the distinct ones).

The product of its digits is 576, while the sum is 23.

The square root of 62816 is about 250.6312031651. The cubic root of 62816 is about 39.7517963931.

Subtracting from 62816 its reverse (61826), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 62 and 816, that added together give a palindrome (878).

The spelling of 62816 in words is "sixty-two thousand, eight hundred sixteen".