42600768 has 112 divisors (see below), whose sum is σ = 133380480. Its totient is φ = 11741184.

The previous prime is 42600757. The next prime is 42600769. The reversal of 42600768 is 86700624.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42600769) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 38430 + ... + 39522.

Almost surely, 2^42600768 is an apocalyptic number.

42600768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42600768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66690240).

42600768 is an abundant number, since it is smaller than the sum of its proper divisors (90779712).

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

42600768 is a wasteful number, since it uses less digits than its factorization.

42600768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 42600768 is about 6526.9263823028. The cubic root of 42600768 is about 349.2521938598.

The spelling of 42600768 in words is "forty-two million, six hundred thousand, seven hundred sixty-eight".