42627840 has 144 divisors (see below), whose sum is σ = 144371808. Its totient is φ = 10682368.

The previous prime is 42627833. The next prime is 42627863. The reversal of 42627840 is 4872624.

It is a Cunningham number, because it is equal to 6529²-1.

It is a congruent number.

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, 64954 + ... + 65606.

It is an arithmetic number, because the mean of its divisors is an integer number (1002582).

Almost surely, 2^42627840 is an apocalyptic number.

42627840 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 42627840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72185904).

42627840 is an abundant number, since it is smaller than the sum of its proper divisors (101743968).

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

42627840 is a wasteful number, since it uses less digits than its factorization.

42627840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 42627840 is about 6528.9999234186. Note that the first 4 decimals coincide. The cubic root of 42627840 is about 349.3261592969.

The spelling of 42627840 in words is "forty-two million, six hundred twenty-seven thousand, eight hundred forty".