42362016 has 48 divisors (see below), whose sum is σ = 111722688. Its totient is φ = 14054400.

The previous prime is 42361981. The next prime is 42362017. The reversal of 42362016 is 61026324.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (42362017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22221 + ... + 24051.

It is an arithmetic number, because the mean of its divisors is an integer number (2327556).

Almost surely, 2^42362016 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 42362016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55861344).

42362016 is an abundant number, since it is smaller than the sum of its proper divisors (69360672).

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

42362016 is a wasteful number, since it uses less digits than its factorization.

42362016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 42362016 is about 6508.6109117077. The cubic root of 42362016 is about 348.5985208207.

The spelling of 42362016 in words is "forty-two million, three hundred sixty-two thousand, sixteen".