60816 has 40 divisors (see below), whose sum is σ = 180544. Its totient is φ = 17280.

The previous prime is 60811. The next prime is 60821. The reversal of 60816 is 61806.

60816 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (60811) and next prime (60821).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 60792 and 60801.

It is not an unprimeable number, because it can be changed into a prime (60811) by changing a digit.

60816 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 7 ways as a sum of consecutive naturals, for example, 246 + ... + 426.

2⁶⁰⁸¹⁶ 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 60816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90272).

60816 is an abundant number, since it is smaller than the sum of its proper divisors (119728).

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

60816 is a wasteful number, since it uses less digits than its factorization.

60816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 60816 is about 246.6090022688. The cubic root of 60816 is about 39.3253518869.

Subtracting 60816 from its reverse (61806), we obtain a triangular number (990 = T₄₄).

The spelling of 60816 in words is "sixty thousand, eight hundred sixteen".