61950 has 48 divisors (see below), whose sum is σ = 178560. Its totient is φ = 13920.

The previous prime is 61949. The next prime is 61961. The reversal of 61950 is 5916.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1021 + ... + 1079.

It is an arithmetic number, because the mean of its divisors is an integer number (3720).

2⁶¹⁹⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89280).

61950 is an abundant number, since it is smaller than the sum of its proper divisors (116610).

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

61950 is a wasteful number, since it uses less digits than its factorization.

61950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 61950 is about 248.8975692931. The cubic root of 61950 is about 39.5682737419.

The spelling of 61950 in words is "sixty-one thousand, nine hundred fifty".