61968 has 20 divisors (see below), whose sum is σ = 160208. Its totient is φ = 20640.

The previous prime is 61967. The next prime is 61979. The reversal of 61968 is 86916.

Its product of digits (2592) is a multiple of the sum of its prime divisors (1296).

It is a plaindrome in base 13.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (61961) 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, 598 + ... + 693.

2⁶¹⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

61968 is an abundant number, since it is smaller than the sum of its proper divisors (98240).

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 (80104).

61968 is a wasteful number, since it uses less digits than its factorization.

61968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1296 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 61968 is about 248.9337261200. The cubic root of 61968 is about 39.5721056491.

The spelling of 61968 in words is "sixty-one thousand, nine hundred sixty-eight".