68616 has 24 divisors (see below), whose sum is σ = 186030. Its totient is φ = 22848.

The previous prime is 68611. The next prime is 68633. The reversal of 68616 is 61686.

It can be written as a sum of positive squares in only one way, i.e., 60516 + 8100 = 246^2 + 90^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 68616.

It is not an unprimeable number, because it can be changed into a prime (68611) by changing a digit.

68616 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 5 ways as a sum of consecutive naturals, for example, 405 + ... + 548.

2⁶⁸⁶¹⁶ is an apocalyptic number.

It is an amenable number.

68616 is an abundant number, since it is smaller than the sum of its proper divisors (117414).

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

68616 is a wasteful number, since it uses less digits than its factorization.

68616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 958 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 68616 is about 261.9465594353. The cubic root of 68616 is about 40.9394306919.

The spelling of 68616 in words is "sixty-eight thousand, six hundred sixteen".