42920784 has 120 divisors (see below), whose sum is σ = 129266280. Its totient is φ = 13246464.

The previous prime is 42920743. The next prime is 42920819. The reversal of 42920784 is 48702924.

42920784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 17640000 + 25280784 = 4200^2 + 5028^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217774 + ... + 217970.

It is an arithmetic number, because the mean of its divisors is an integer number (1077219).

Almost surely, 2^42920784 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 42920784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64633140).

42920784 is an abundant number, since it is smaller than the sum of its proper divisors (86345496).

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

42920784 is a wasteful number, since it uses less digits than its factorization.

42920784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 42920784 is about 6551.3955765165. The cubic root of 42920784 is about 350.1245379942.

The spelling of 42920784 in words is "forty-two million, nine hundred twenty thousand, seven hundred eighty-four".