61960 has 16 divisors (see below), whose sum is σ = 139500. Its totient is φ = 24768.

The previous prime is 61949. The next prime is 61961. The reversal of 61960 is 6916.

It can be written as a sum of positive squares in 2 ways, for example, as 60516 + 1444 = 246^2 + 38^2 .

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (61961) by changing a digit.

61960 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 3 ways as a sum of consecutive naturals, for example, 735 + ... + 814.

2⁶¹⁹⁶⁰ is an apocalyptic number.

It is an amenable number.

61960 is an abundant number, since it is smaller than the sum of its proper divisors (77540).

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 (69750).

61960 is a wasteful number, since it uses less digits than its factorization.

61960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 61960 is about 248.9176570676. The cubic root of 61960 is about 39.5704026708.

The spelling of 61960 in words is "sixty-one thousand, nine hundred sixty".