42294168 has 96 divisors (see below), whose sum is σ = 135183360. Its totient is φ = 11689920.

The previous prime is 42294143. The next prime is 42294179. The reversal of 42294168 is 86149224.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14271 + ... + 16977.

It is an arithmetic number, because the mean of its divisors is an integer number (1408160).

Almost surely, 2^42294168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42294168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67591680).

42294168 is an abundant number, since it is smaller than the sum of its proper divisors (92889192).

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

42294168 is a wasteful number, since it uses less digits than its factorization.

42294168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2757 (or 2750 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 42294168 is about 6503.3966509817. The cubic root of 42294168 is about 348.4123135139.

The spelling of 42294168 in words is "forty-two million, two hundred ninety-four thousand, one hundred sixty-eight".