42688812 has 48 divisors (see below), whose sum is σ = 103672800. Its totient is φ = 13655040.

The previous prime is 42688777. The next prime is 42688813. The reversal of 42688812 is 21888624.

It is a super-3 number, since 3×42688812³ (a number of 24 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (42688813) 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 15 ways as a sum of consecutive naturals, for example, 83614 + ... + 84122.

It is an arithmetic number, because the mean of its divisors is an integer number (2159850).

Almost surely, 2^42688812 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 42688812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51836400).

42688812 is an abundant number, since it is smaller than the sum of its proper divisors (60983988).

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

42688812 is a wasteful number, since it uses less digits than its factorization.

42688812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 784 counting only the distinct ones).

The product of its digits is 49152, while the sum is 39.

The square root of 42688812 is about 6533.6675764841. The cubic root of 42688812 is about 349.4926308462.

The spelling of 42688812 in words is "forty-two million, six hundred eighty-eight thousand, eight hundred twelve".