42793920 has 280 divisors, whose sum is σ = 165225984. Its totient is φ = 10450944.

The previous prime is 42793903. The next prime is 42793931. The reversal of 42793920 is 2939724.

42793920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 39 ways as a sum of consecutive naturals, for example, 336897 + ... + 337023.

Almost surely, 2^42793920 is an apocalyptic number.

42793920 is a gapful number since it is divisible by the number (40) 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 42793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82612992).

42793920 is an abundant number, since it is smaller than the sum of its proper divisors (122432064).

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

42793920 is a wasteful number, since it uses less digits than its factorization.

42793920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 42793920 is about 6541.7061994559. The cubic root of 42793920 is about 349.7792349297.

The spelling of 42793920 in words is "forty-two million, seven hundred ninety-three thousand, nine hundred twenty".