42067760 has 80 divisors (see below), whose sum is σ = 114445056. Its totient is φ = 14079744.

The previous prime is 42067757. The next prime is 42067769. The reversal of 42067760 is 6776024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (42067769) 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 15 ways as a sum of consecutive naturals, for example, 23207 + ... + 24953.

Almost surely, 2^42067760 is an apocalyptic number.

42067760 is a gapful number since it is divisible by the number (40) 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 42067760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57222528).

42067760 is an abundant number, since it is smaller than the sum of its proper divisors (72377296).

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

42067760 is a wasteful number, since it uses less digits than its factorization.

42067760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 42067760 is about 6485.9663890588. The cubic root of 42067760 is about 347.7894970387.

The spelling of 42067760 in words is "forty-two million, sixty-seven thousand, seven hundred sixty".