61007742 has 40 divisors (see below), whose sum is σ = 137214000. Its totient is φ = 20259936.

The previous prime is 61007731. The next prime is 61007761. The reversal of 61007742 is 24770016.

61007742 is a `hidden beast` number, since 610 + 0 + 7 + 7 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 57634 + ... + 58682.

It is an arithmetic number, because the mean of its divisors is an integer number (3430350).

Almost surely, 2^61007742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61007742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68607000).

61007742 is an abundant number, since it is smaller than the sum of its proper divisors (76206258).

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

61007742 is a wasteful number, since it uses less digits than its factorization.

61007742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 61007742 is about 7810.7452909438. The cubic root of 61007742 is about 393.6663713550. Note that the first 3 decimals are identical.

Adding to 61007742 its reverse (24770016), we get a palindrome (85777758).

The spelling of 61007742 in words is "sixty-one million, seven thousand, seven hundred forty-two".