42668064 has 36 divisors (see below), whose sum is σ = 121338126. Its totient is φ = 14222592.

The previous prime is 42668029. The next prime is 42668099. The reversal of 42668064 is 46086624.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42668029) and next prime (42668099).

It can be written as a sum of positive squares in only one way, i.e., 34715664 + 7952400 = 5892^2 + 2820^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73789 + ... + 74364.

Almost surely, 2^42668064 is an apocalyptic number.

It is an amenable number.

42668064 is an abundant number, since it is smaller than the sum of its proper divisors (78670062).

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

42668064 is a wasteful number, since it uses less digits than its factorization.

42668064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148169 (or 148158 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 42668064 is about 6532.0796075982. The cubic root of 42668064 is about 349.4360004876.

The spelling of 42668064 in words is "forty-two million, six hundred sixty-eight thousand, sixty-four".