42966216 has 48 divisors (see below), whose sum is σ = 117418860. Its totient is φ = 14192640.

The previous prime is 42966211. The next prime is 42966221. The reversal of 42966216 is 61266924.

42966216 is a `hidden beast` number, since 4 + 29 + 6 + 621 + 6 = 666.

42966216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42966211) and next prime (42966221).

It can be written as a sum of positive squares in 2 ways, for example, as 31877316 + 11088900 = 5646^2 + 3330^2 .

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 not an unprimeable number, because it can be changed into a prime (42966211) 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 11 ways as a sum of consecutive naturals, for example, 5496 + ... + 10776.

Almost surely, 2^42966216 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 42966216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58709430).

42966216 is an abundant number, since it is smaller than the sum of its proper divisors (74452644).

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

42966216 is a wasteful number, since it uses less digits than its factorization.

42966216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5406 (or 5399 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 42966216 is about 6554.8620122776. The cubic root of 42966216 is about 350.2480309916.

The spelling of 42966216 in words is "forty-two million, nine hundred sixty-six thousand, two hundred sixteen".