61668 has 24 divisors (see below), whose sum is σ = 160160. Its totient is φ = 20520.

The previous prime is 61667. The next prime is 61673. The reversal of 61668 is 86616.

61668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (1728) is a multiple of the sum of its prime divisors (576).

It is not an unprimeable number, because it can be changed into a prime (61667) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178 + ... + 393.

2⁶¹⁶⁶⁸ is an apocalyptic number.

It is an amenable number.

61668 is an abundant number, since it is smaller than the sum of its proper divisors (98492).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80080).

61668 is a wasteful number, since it uses less digits than its factorization.

61668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 576 counting only the distinct ones).

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

The square root of 61668 is about 248.3304250389. The cubic root of 61668 is about 39.5081433833.

It can be divided in two parts, 61 and 668, that added together give a 6-th power (729 = 3⁶).

The spelling of 61668 in words is "sixty-one thousand, six hundred sixty-eight".