42768656 has 40 divisors (see below), whose sum is σ = 96017664. Its totient is φ = 18074880.

The previous prime is 42768653. The next prime is 42768667. The reversal of 42768656 is 65686724.

It is a super-3 number, since 3×42768656³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (42768653) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5561 + ... + 10791.

Almost surely, 2^42768656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42768656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48008832).

42768656 is an abundant number, since it is smaller than the sum of its proper divisors (53249008).

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

42768656 is a wasteful number, since it uses less digits than its factorization.

42768656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5319 (or 5313 counting only the distinct ones).

The product of its digits is 483840, while the sum is 44.

The square root of 42768656 is about 6539.7749196742. The cubic root of 42768656 is about 349.7103889960.

The spelling of 42768656 in words is "forty-two million, seven hundred sixty-eight thousand, six hundred fifty-six".