42206976 has 108 divisors (see below), whose sum is σ = 139130992. Its totient is φ = 12054528.

The previous prime is 42206929. The next prime is 42207017. The reversal of 42206976 is 67960224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42206976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14820 + ... + 17436.

Almost surely, 2^42206976 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 42206976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69565496).

42206976 is an abundant number, since it is smaller than the sum of its proper divisors (96924016).

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

42206976 is a wasteful number, since it uses less digits than its factorization.

42206976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2646 (or 2629 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 42206976 is about 6496.6896185673. The cubic root of 42206976 is about 348.1727244034.

The spelling of 42206976 in words is "forty-two million, two hundred six thousand, nine hundred seventy-six".