42767440 has 80 divisors (see below), whose sum is σ = 103207680. Its totient is φ = 16473600.

The previous prime is 42767429. The next prime is 42767441. The reversal of 42767440 is 4476724.

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

It is a junction number, because it is equal to n+sod(n) for n = 42767396 and 42767405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42767441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 423390 + ... + 423490.

It is an arithmetic number, because the mean of its divisors is an integer number (1290096).

Almost surely, 2^42767440 is an apocalyptic number.

42767440 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 42767440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51603840).

42767440 is an abundant number, since it is smaller than the sum of its proper divisors (60440240).

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

42767440 is a wasteful number, since it uses less digits than its factorization.

42767440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 34.

The square root of 42767440 is about 6539.6819494529. The cubic root of 42767440 is about 349.7070746384.

The spelling of 42767440 in words is "forty-two million, seven hundred sixty-seven thousand, four hundred forty".