42616368 has 120 divisors (see below), whose sum is σ = 126064848. Its totient is φ = 13934592.

The previous prime is 42616367. The next prime is 42616381. The reversal of 42616368 is 86361624.

42616368 is a `hidden beast` number, since 4 + 2 + 616 + 36 + 8 = 666.

It is a super-2 number, since 2×42616368² = 3632309643022848, which contains 22 as substring.

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 (42616361) 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, 377080 + ... + 377192.

Almost surely, 2^42616368 is an apocalyptic number.

42616368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42616368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63032424).

42616368 is an abundant number, since it is smaller than the sum of its proper divisors (83448480).

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

42616368 is a wasteful number, since it uses less digits than its factorization.

42616368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 215 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 42616368 is about 6528.1213224020. The cubic root of 42616368 is about 349.2948196118.

The spelling of 42616368 in words is "forty-two million, six hundred sixteen thousand, three hundred sixty-eight".