42367840 has 96 divisors (see below), whose sum is σ = 108319680. Its totient is φ = 15611904.

The previous prime is 42367837. The next prime is 42367847. The reversal of 42367840 is 4876324.

It is a junction number, because it is equal to n+sod(n) for n = 42367796 and 42367805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42367847) 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, 106522 + ... + 106918.

It is an arithmetic number, because the mean of its divisors is an integer number (1128330).

Almost surely, 2^42367840 is an apocalyptic number.

42367840 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 42367840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54159840).

42367840 is an abundant number, since it is smaller than the sum of its proper divisors (65951840).

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

42367840 is a wasteful number, since it uses less digits than its factorization.

42367840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 42367840 is about 6509.0583036258. The cubic root of 42367840 is about 348.6144953890.

The spelling of 42367840 in words is "forty-two million, three hundred sixty-seven thousand, eight hundred forty".