61968405 has 32 divisors (see below), whose sum is σ = 105431040. Its totient is φ = 30991680.

The previous prime is 61968397. The next prime is 61968407. The reversal of 61968405 is 50486916.

It is not a de Polignac number, because 61968405 - 2³ = 61968397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61968407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28300 + ... + 30410.

It is an arithmetic number, because the mean of its divisors is an integer number (3294720).

Almost surely, 2^61968405 is an apocalyptic number.

It is an amenable number.

61968405 is a deficient number, since it is larger than the sum of its proper divisors (43462635).

61968405 is a wasteful number, since it uses less digits than its factorization.

61968405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2241.

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 61968405 is about 7872.0013338414. The cubic root of 61968405 is about 395.7219185847.

The spelling of 61968405 in words is "sixty-one million, nine hundred sixty-eight thousand, four hundred five".