42767340 has 96 divisors (see below), whose sum is σ = 149313024. Its totient is φ = 8885760.

The previous prime is 42767317. The next prime is 42767341. The reversal of 42767340 is 4376724.

42767340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (42767341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9 + ... + 9248.

It is an arithmetic number, because the mean of its divisors is an integer number (1555344).

Almost surely, 2^42767340 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 42767340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74656512).

42767340 is an abundant number, since it is smaller than the sum of its proper divisors (106545684).

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

42767340 is a wasteful number, since it uses less digits than its factorization.

42767340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9287 (or 9285 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 42767340 is about 6539.6743038167. The cubic root of 42767340 is about 349.7068020733.

The spelling of 42767340 in words is "forty-two million, seven hundred sixty-seven thousand, three hundred forty".