61740042 has 64 divisors (see below), whose sum is σ = 154156800. Its totient is φ = 16049664.

The previous prime is 61740037. The next prime is 61740061. The reversal of 61740042 is 24004716.

It is a junction number, because it is equal to n+sod(n) for n = 61739994 and 61740021.

It is an unprimeable number.

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, 39084 + ... + 40632.

It is an arithmetic number, because the mean of its divisors is an integer number (2408700).

Almost surely, 2^61740042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61740042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77078400).

61740042 is an abundant number, since it is smaller than the sum of its proper divisors (92416758).

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

61740042 is a wasteful number, since it uses less digits than its factorization.

61740042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647.

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 61740042 is about 7857.4831848372. The cubic root of 61740042 is about 395.2352217525.

Adding to 61740042 its reverse (24004716), we get a palindrome (85744758).

The spelling of 61740042 in words is "sixty-one million, seven hundred forty thousand, forty-two".