42968016 has 160 divisors (see below), whose sum is σ = 151934720. Its totient is φ = 11321856.

The previous prime is 42967999. The next prime is 42968017. The reversal of 42968016 is 61086924.

42968016 = 3³ + 4³ + ... + 114³.

42968016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42968017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38766 + ... + 39858.

It is an arithmetic number, because the mean of its divisors is an integer number (949592).

Almost surely, 2^42968016 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 42968016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75967360).

42968016 is an abundant number, since it is smaller than the sum of its proper divisors (108966704).

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

42968016 is a wasteful number, since it uses less digits than its factorization.

42968016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 42968016 is about 6554.9993135011. Note that the first 3 decimals coincide. The cubic root of 42968016 is about 350.2529219478.

The spelling of 42968016 in words is "forty-two million, nine hundred sixty-eight thousand, sixteen".