42913920 has 256 divisors, whose sum is σ = 162938880. Its totient is φ = 9400320.

The previous prime is 42913907. The next prime is 42913943. The reversal of 42913920 is 2931924.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 416589 + ... + 416691.

It is an arithmetic number, because the mean of its divisors is an integer number (636480).

Almost surely, 2^42913920 is an apocalyptic number.

42913920 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 42913920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81469440).

42913920 is an abundant number, since it is smaller than the sum of its proper divisors (120024960).

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

42913920 is a wasteful number, since it uses less digits than its factorization.

42913920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 42913920 is about 6550.8716977208. The cubic root of 42913920 is about 350.1058727329.

The spelling of 42913920 in words is "forty-two million, nine hundred thirteen thousand, nine hundred twenty".