42966616 has 96 divisors (see below), whose sum is σ = 107442720. Its totient is φ = 15713280.

The previous prime is 42966613. The next prime is 42966643. The reversal of 42966616 is 61666924.

It is a super-2 number, since 2×42966616² = 3692260180982912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42966611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115006 + ... + 115378.

It is an arithmetic number, because the mean of its divisors is an integer number (1119195).

Almost surely, 2^42966616 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 42966616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53721360).

42966616 is an abundant number, since it is smaller than the sum of its proper divisors (64476104).

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

42966616 is a wasteful number, since it uses less digits than its factorization.

42966616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 410 counting only the distinct ones).

The product of its digits is 93312, while the sum is 40.

The square root of 42966616 is about 6554.8925239091. The cubic root of 42966616 is about 350.2491178825.

The spelling of 42966616 in words is "forty-two million, nine hundred sixty-six thousand, six hundred sixteen".