42679840 has 96 divisors (see below), whose sum is σ = 117573120. Its totient is φ = 14337024.

The previous prime is 42679831. The next prime is 42679849. The reversal of 42679840 is 4897624.

It is an interprime number because it is at equal distance from previous prime (42679831) and next prime (42679849).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 42679793 and 42679802.

It is not an unprimeable number, because it can be changed into a prime (42679849) 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, 59001 + ... + 59719.

It is an arithmetic number, because the mean of its divisors is an integer number (1224720).

Almost surely, 2^42679840 is an apocalyptic number.

42679840 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 42679840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58786560).

42679840 is an abundant number, since it is smaller than the sum of its proper divisors (74893280).

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

42679840 is a wasteful number, since it uses less digits than its factorization.

42679840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 42679840 is about 6532.9809428775. The cubic root of 42679840 is about 349.4681445898.

The spelling of 42679840 in words is "forty-two million, six hundred seventy-nine thousand, eight hundred forty".