42834624 has 168 divisors, whose sum is σ = 137251440. Its totient is φ = 11741184.

The previous prime is 42834619. The next prime is 42834629. The reversal of 42834624 is 42643824.

It is an interprime number because it is at equal distance from previous prime (42834619) and next prime (42834629).

It is a tau number, because it is divible by the number of its divisors (168).

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

It is not an unprimeable number, because it can be changed into a prime (42834629) 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, 272754 + ... + 272910.

Almost surely, 2^42834624 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 42834624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68625720).

42834624 is an abundant number, since it is smaller than the sum of its proper divisors (94416816).

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

42834624 is a wasteful number, since it uses less digits than its factorization.

42834624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 198 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

The square root of 42834624 is about 6544.8165749698. The cubic root of 42834624 is about 349.8900988276.

The spelling of 42834624 in words is "forty-two million, eight hundred thirty-four thousand, six hundred twenty-four".