42825216 has 120 divisors (see below), whose sum is σ = 132949080. Its totient is φ = 12214272.

The previous prime is 42825191. The next prime is 42825217. The reversal of 42825216 is 61252824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42825217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74980 + ... + 75548.

It is an arithmetic number, because the mean of its divisors is an integer number (1107909).

Almost surely, 2^42825216 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 42825216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66474540).

42825216 is an abundant number, since it is smaller than the sum of its proper divisors (90123864).

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

42825216 is an equidigital number, since it uses as much as digits as its factorization.

42825216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 581 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 42825216 is about 6544.0977987802. The cubic root of 42825216 is about 349.8644808674.

The spelling of 42825216 in words is "forty-two million, eight hundred twenty-five thousand, two hundred sixteen".