61980 has 24 divisors (see below), whose sum is σ = 173712. Its totient is φ = 16512.

The previous prime is 61979. The next prime is 61981. The reversal of 61980 is 8916.

61980 is digitally balanced in base 2, because in such base 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 (61979) and next prime (61981).

It is a plaindrome in base 13.

It is a zygodrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 61980.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61981) 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, 457 + ... + 576.

It is an arithmetic number, because the mean of its divisors is an integer number (7238).

2⁶¹⁹⁸⁰ is an apocalyptic number.

61980 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61980 is an abundant number, since it is smaller than the sum of its proper divisors (111732).

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 (86856).

61980 is a wasteful number, since it uses less digits than its factorization.

61980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 61980 is about 248.9578277540. The cubic root of 61980 is about 39.5746598417.

The spelling of 61980 in words is "sixty-one thousand, nine hundred eighty".