42868040 has 64 divisors (see below), whose sum is σ = 100638720. Its totient is φ = 16416000.

The previous prime is 42868037. The next prime is 42868051. The reversal of 42868040 is 4086824.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 42867988 and 42868006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224345 + ... + 224535.

It is an arithmetic number, because the mean of its divisors is an integer number (1572480).

Almost surely, 2^42868040 is an apocalyptic number.

42868040 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 42868040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50319360).

42868040 is an abundant number, since it is smaller than the sum of its proper divisors (57770680).

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

42868040 is a wasteful number, since it uses less digits than its factorization.

42868040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 42868040 is about 6547.3689372144. The cubic root of 42868040 is about 349.9810601996.

The spelling of 42868040 in words is "forty-two million, eight hundred sixty-eight thousand, forty".