5760216 has 96 divisors (see below), whose sum is σ = 19468800. Its totient is φ = 1494720.

The previous prime is 5760193. The next prime is 5760217. The reversal of 5760216 is 6120675.

5760216 is a `hidden beast` number, since 57 + 602 + 1 + 6 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5760216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5760217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5025 + ... + 6063.

It is an arithmetic number, because the mean of its divisors is an integer number (202800).

Almost surely, 2^5760216 is an apocalyptic number.

5760216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

5760216 is the 1386-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5760216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9734400).

5760216 is an abundant number, since it is smaller than the sum of its proper divisors (13708584).

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

5760216 is a wasteful number, since it uses less digits than its factorization.

5760216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 5760216 is about 2400.0449995781. The cubic root of 5760216 is about 179.2584305367.

The spelling of 5760216 in words is "five million, seven hundred sixty thousand, two hundred sixteen".