42942816 has 216 divisors, whose sum is σ = 151252920. Its totient is φ = 11483136.

The previous prime is 42942763. The next prime is 42942821. The reversal of 42942816 is 61824924.

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 35 ways as a sum of consecutive naturals, for example, 239815 + ... + 239993.

It is an arithmetic number, because the mean of its divisors is an integer number (700245).

Almost surely, 2^42942816 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 42942816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75626460).

42942816 is an abundant number, since it is smaller than the sum of its proper divisors (108310104).

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

42942816 is a wasteful number, since it uses less digits than its factorization.

42942816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 208 counting only the distinct ones).

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

The square root of 42942816 is about 6553.0768345869. The cubic root of 42942816 is about 350.1844361257.

The spelling of 42942816 in words is "forty-two million, nine hundred forty-two thousand, eight hundred sixteen".