42968601 has 24 divisors (see below), whose sum is σ = 67147080. Its totient is φ = 26320896.

The previous prime is 42968591. The next prime is 42968609. The reversal of 42968601 is 10686924.

42968601 is a `hidden beast` number, since 42 + 9 + 6 + 8 + 601 = 666.

42968601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2975625 + 39992976 = 1725^2 + 6324^2 .

It is not a de Polignac number, because 42968601 - 2⁷ = 42968473 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42968609) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 29355 + ... + 30783.

It is an arithmetic number, because the mean of its divisors is an integer number (2797795).

Almost surely, 2^42968601 is an apocalyptic number.

It is an amenable number.

42968601 is a deficient number, since it is larger than the sum of its proper divisors (24178479).

42968601 is a wasteful number, since it uses less digits than its factorization.

42968601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 42968601 is about 6555.0439357795. The cubic root of 42968601 is about 350.2545114792.

The spelling of 42968601 in words is "forty-two million, nine hundred sixty-eight thousand, six hundred one".