42206208 has 88 divisors (see below), whose sum is σ = 122820000. Its totient is φ = 12779520.

The previous prime is 42206147. The next prime is 42206209. The reversal of 42206208 is 80260224.

It is a tau number, because it is divible by the number of its divisors (88).

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 (42206209) 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, 33168 + ... + 34416.

Almost surely, 2^42206208 is an apocalyptic number.

42206208 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 42206208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61410000).

42206208 is an abundant number, since it is smaller than the sum of its proper divisors (80613792).

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

42206208 is a wasteful number, since it uses less digits than its factorization.

42206208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 42206208 is about 6496.6305112727. The cubic root of 42206208 is about 348.1706126018.

The spelling of 42206208 in words is "forty-two million, two hundred six thousand, two hundred eight".