42664968 has 96 divisors (see below), whose sum is σ = 126977760. Its totient is φ = 13374720.

The previous prime is 42664967. The next prime is 42664981. The reversal of 42664968 is 86946624.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42664967) 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 23 ways as a sum of consecutive naturals, for example, 32403 + ... + 33693.

It is an arithmetic number, because the mean of its divisors is an integer number (1322685).

Almost surely, 2^42664968 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 42664968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63488880).

42664968 is an abundant number, since it is smaller than the sum of its proper divisors (84312792).

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

42664968 is a wasteful number, since it uses less digits than its factorization.

42664968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1313 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 42664968 is about 6531.8426190471. The cubic root of 42664968 is about 349.4275485767.

The spelling of 42664968 in words is "forty-two million, six hundred sixty-four thousand, nine hundred sixty-eight".