61965940 has 12 divisors (see below), whose sum is σ = 130128516. Its totient is φ = 24786368.

The previous prime is 61965929. The next prime is 61965949. The reversal of 61965940 is 4956916.

61965940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 20466576 + 41499364 = 4524^2 + 6442^2 .

It is a junction number, because it is equal to n+sod(n) for n = 61965893 and 61965902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61965949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1549129 + ... + 1549168.

It is an arithmetic number, because the mean of its divisors is an integer number (10844043).

Almost surely, 2^61965940 is an apocalyptic number.

It is an amenable number.

61965940 is an abundant number, since it is smaller than the sum of its proper divisors (68162576).

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

61965940 is a wasteful number, since it uses less digits than its factorization.

61965940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3098306 (or 3098304 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The square root of 61965940 is about 7871.8447647295. The cubic root of 61965940 is about 395.7166714620.

The spelling of 61965940 in words is "sixty-one million, nine hundred sixty-five thousand, nine hundred forty".