61936 has 30 divisors (see below), whose sum is σ = 141360. Its totient is φ = 26208.

The previous prime is 61933. The next prime is 61949. The reversal of 61936 is 63916.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 61936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61933) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 745 + ... + 823.

It is an arithmetic number, because the mean of its divisors is an integer number (4712).

2⁶¹⁹³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70680).

61936 is an abundant number, since it is smaller than the sum of its proper divisors (79424).

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

61936 is a wasteful number, since it uses less digits than its factorization.

61936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 88 counting only the distinct ones).

The product of its digits is 972, while the sum is 25.

The square root of 61936 is about 248.8694436848. The cubic root of 61936 is about 39.5652928564.

The spelling of 61936 in words is "sixty-one thousand, nine hundred thirty-six".