61742016 has 84 divisors (see below), whose sum is σ = 202267312. Its totient is φ = 17639424.

The previous prime is 61741991. The next prime is 61742029. The reversal of 61742016 is 61024716.

61742016 is a `hidden beast` number, since 617 + 42 + 0 + 1 + 6 = 666.

61742016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3625 + ... + 11688.

Almost surely, 2^61742016 is an apocalyptic number.

It is an amenable number.

61742016 is an abundant number, since it is smaller than the sum of its proper divisors (140525296).

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

61742016 is a wasteful number, since it uses less digits than its factorization.

61742016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15338 (or 15325 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 61742016 is about 7857.6087965742. The cubic root of 61742016 is about 395.2394339622.

It can be divided in two parts, 6174 and 2016, that multiplied together give a square (12446784 = 3528²).

The spelling of 61742016 in words is "sixty-one million, seven hundred forty-two thousand, sixteen".