42763968 has 84 divisors (see below), whose sum is σ = 132027168. Its totient is φ = 13155840.

The previous prime is 42763961. The next prime is 42763979. The reversal of 42763968 is 86936724.

42763968 is a `hidden beast` number, since 4 + 2 + 7 + 639 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (42763961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4633 + ... + 10343.

It is an arithmetic number, because the mean of its divisors is an integer number (1571752).

Almost surely, 2^42763968 is an apocalyptic number.

42763968 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 42763968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66013584).

42763968 is an abundant number, since it is smaller than the sum of its proper divisors (89263200).

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

42763968 is a wasteful number, since it uses less digits than its factorization.

42763968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5742 (or 5729 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 42763968 is about 6539.4164877304. The cubic root of 42763968 is about 349.6976109294.

The spelling of 42763968 in words is "forty-two million, seven hundred sixty-three thousand, nine hundred sixty-eight".