42888640 has 56 divisors (see below), whose sum is σ = 103217472. Its totient is φ = 16972800.

The previous prime is 42888619. The next prime is 42888641. The reversal of 42888640 is 4688824.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 42888593 and 42888602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42888641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31657 + ... + 32983.

Almost surely, 2^42888640 is an apocalyptic number.

42888640 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 42888640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51608736).

42888640 is an abundant number, since it is smaller than the sum of its proper divisors (60328832).

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

42888640 is a wasteful number, since it uses less digits than its factorization.

42888640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 42888640 is about 6548.9418992689. The cubic root of 42888640 is about 350.0371117110.

The spelling of 42888640 in words is "forty-two million, eight hundred eighty-eight thousand, six hundred forty".