42868512 has 72 divisors (see below), whose sum is σ = 124540416. Its totient is φ = 13981056.

The previous prime is 42868499. The next prime is 42868513. The reversal of 42868512 is 21586824.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42868513) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 11953 + ... + 15119.

It is an arithmetic number, because the mean of its divisors is an integer number (1729728).

Almost surely, 2^42868512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42868512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62270208).

42868512 is an abundant number, since it is smaller than the sum of its proper divisors (81671904).

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

42868512 is a wasteful number, since it uses less digits than its factorization.

42868512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3230 (or 3219 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 42868512 is about 6547.4049821284. The cubic root of 42868512 is about 349.9823446876.

The spelling of 42868512 in words is "forty-two million, eight hundred sixty-eight thousand, five hundred twelve".