42821688 has 96 divisors (see below), whose sum is σ = 134159760. Its totient is φ = 11289600.

The previous prime is 42821683. The next prime is 42821711. The reversal of 42821688 is 88612824.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42821683) 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 23 ways as a sum of consecutive naturals, for example, 13888 + ... + 16688.

Almost surely, 2^42821688 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 42821688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67079880).

42821688 is an abundant number, since it is smaller than the sum of its proper divisors (91338072).

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

42821688 is a wasteful number, since it uses less digits than its factorization.

42821688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2837 (or 2826 counting only the distinct ones).

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

The square root of 42821688 is about 6543.8282373546. The cubic root of 42821688 is about 349.8548731651.

The spelling of 42821688 in words is "forty-two million, eight hundred twenty-one thousand, six hundred eighty-eight".