42962920 has 256 divisors, whose sum is σ = 137894400. Its totient is φ = 11612160.

The previous prime is 42962903. The next prime is 42962929. The reversal of 42962920 is 2926924.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42962929) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1161142 + ... + 1161178.

It is an arithmetic number, because the mean of its divisors is an integer number (538650).

Almost surely, 2^42962920 is an apocalyptic number.

42962920 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 42962920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68947200).

42962920 is an abundant number, since it is smaller than the sum of its proper divisors (94931480).

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

42962920 is a wasteful number, since it uses less digits than its factorization.

42962920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 42962920 is about 6554.6105910267. The cubic root of 42962920 is about 350.2390747531.

The spelling of 42962920 in words is "forty-two million, nine hundred sixty-two thousand, nine hundred twenty".