42679392 has 144 divisors (see below), whose sum is σ = 133987392. Its totient is φ = 11854080.

The previous prime is 42679369. The next prime is 42679393. The reversal of 42679392 is 29397624.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42679393) 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 23 ways as a sum of consecutive naturals, for example, 202167 + ... + 202377.

It is an arithmetic number, because the mean of its divisors is an integer number (930468).

Almost surely, 2^42679392 is an apocalyptic number.

42679392 is a gapful number since it is divisible by the number (42) 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 42679392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66993696).

42679392 is an abundant number, since it is smaller than the sum of its proper divisors (91308000).

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

42679392 is a wasteful number, since it uses less digits than its factorization.

42679392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 266 counting only the distinct ones).

The product of its digits is 163296, while the sum is 42.

The square root of 42679392 is about 6532.9466552238. The cubic root of 42679392 is about 349.4669218246.

It can be divided in two parts, 42679 and 392, that added together give a triangular number (43071 = T₂₉₃).

The spelling of 42679392 in words is "forty-two million, six hundred seventy-nine thousand, three hundred ninety-two".