42289920 has 108 divisors (see below), whose sum is σ = 146358576. Its totient is φ = 11274240.

The previous prime is 42289909. The next prime is 42289937. The reversal of 42289920 is 2998224.

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

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, 9685 + ... + 13355.

It is an arithmetic number, because the mean of its divisors is an integer number (1355172).

Almost surely, 2^42289920 is an apocalyptic number.

42289920 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 42289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73179288).

42289920 is an abundant number, since it is smaller than the sum of its proper divisors (104068656).

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

42289920 is a wasteful number, since it uses less digits than its factorization.

42289920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3698 (or 3681 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 42289920 is about 6503.0700442176. The cubic root of 42289920 is about 348.4006483511.

The spelling of 42289920 in words is "forty-two million, two hundred eighty-nine thousand, nine hundred twenty".