42267760 has 40 divisors (see below), whose sum is σ = 98649936. Its totient is φ = 16842240.

The previous prime is 42267749. The next prime is 42267773. The reversal of 42267760 is 6776224.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 23700 + ... + 25420.

Almost surely, 2^42267760 is an apocalyptic number.

42267760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42267760 is an abundant number, since it is smaller than the sum of its proper divisors (56382176).

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

42267760 is a wasteful number, since it uses less digits than its factorization.

42267760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 42267760 is about 6501.3660103089. The cubic root of 42267760 is about 348.3397835139.

The spelling of 42267760 in words is "forty-two million, two hundred sixty-seven thousand, seven hundred sixty".