42668472 has 96 divisors (see below), whose sum is σ = 134064000. Its totient is φ = 11077440.

The previous prime is 42668467. The next prime is 42668477. The reversal of 42668472 is 27486624.

It is an interprime number because it is at equal distance from previous prime (42668467) and next prime (42668477).

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

It is a self number, because there is not a number n which added to its sum of digits gives 42668472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42668477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19279 + ... + 21377.

It is an arithmetic number, because the mean of its divisors is an integer number (1396500).

Almost surely, 2^42668472 is an apocalyptic number.

42668472 is a gapful number since it is divisible by the number (42) 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 42668472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67032000).

42668472 is an abundant number, since it is smaller than the sum of its proper divisors (91395528).

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

42668472 is a wasteful number, since it uses less digits than its factorization.

42668472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137 (or 2122 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 42668472 is about 6532.1108380063. The cubic root of 42668472 is about 349.4371142748.

The spelling of 42668472 in words is "forty-two million, six hundred sixty-eight thousand, four hundred seventy-two".