42279680 has 144 divisors (see below), whose sum is σ = 112583520. Its totient is φ = 15138816.

The previous prime is 42279673. The next prime is 42279701. The reversal of 42279680 is 8697224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 631007 + ... + 631073.

It is an arithmetic number, because the mean of its divisors is an integer number (781830).

Almost surely, 2^42279680 is an apocalyptic number.

42279680 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 42279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56291760).

42279680 is an abundant number, since it is smaller than the sum of its proper divisors (70303840).

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

42279680 is a wasteful number, since it uses less digits than its factorization.

42279680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 42279680 is about 6502.2826761069. The cubic root of 42279680 is about 348.3725257266.

The spelling of 42279680 in words is "forty-two million, two hundred seventy-nine thousand, six hundred eighty".