42206346 has 120 divisors (see below), whose sum is σ = 118766340. Its totient is φ = 11104128.

The previous prime is 42206341. The next prime is 42206347. The reversal of 42206346 is 64360224.

42206346 is a `hidden beast` number, since 4 + 2 + 20 + 634 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42107121 + 99225 = 6489^2 + 315^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42206341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 102990 + ... + 103398.

Almost surely, 2^42206346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42206346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59383170).

42206346 is an abundant number, since it is smaller than the sum of its proper divisors (76559994).

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

42206346 is a wasteful number, since it uses less digits than its factorization.

42206346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 42206346 is about 6496.6411321544. The cubic root of 42206346 is about 348.1709920681.

The spelling of 42206346 in words is "forty-two million, two hundred six thousand, three hundred forty-six".