642107061 has 16 divisors (see below), whose sum is σ = 981957120. Its totient is φ = 414262080.

The previous prime is 642106981. The next prime is 642107099. The reversal of 642107061 is 160701246.

642107061 is a `hidden beast` number, since 642 + 10 + 7 + 0 + 6 + 1 = 666.

642107061 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 642107061 - 2¹⁴ = 642090677 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642107161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 382740 + ... + 384413.

It is an arithmetic number, because the mean of its divisors is an integer number (61372320).

Almost surely, 2^642107061 is an apocalyptic number.

It is an amenable number.

642107061 is a deficient number, since it is larger than the sum of its proper divisors (339850059).

642107061 is a wasteful number, since it uses less digits than its factorization.

642107061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767193 (or 767187 counting only the distinct ones).

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

The square root of 642107061 is about 25339.8315108842. The cubic root of 642107061 is about 862.7185744719.

The spelling of 642107061 in words is "six hundred forty-two million, one hundred seven thousand, sixty-one".