42646120 has 64 divisors (see below), whose sum is σ = 105805440. Its totient is φ = 15340800.

The previous prime is 42646063. The next prime is 42646187. The reversal of 42646120 is 2164624.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44850 + ... + 45790.

It is an arithmetic number, because the mean of its divisors is an integer number (1653210).

Almost surely, 2^42646120 is an apocalyptic number.

42646120 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 42646120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52902720).

42646120 is an abundant number, since it is smaller than the sum of its proper divisors (63159320).

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

42646120 is a wasteful number, since it uses less digits than its factorization.

42646120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 42646120 is about 6530.3996814896. The cubic root of 42646120 is about 349.3760857426.

The spelling of 42646120 in words is "forty-two million, six hundred forty-six thousand, one hundred twenty".