42818688 has 192 divisors, whose sum is σ = 140025600. Its totient is φ = 12441600.

The previous prime is 42818687. The next prime is 42818693. The reversal of 42818688 is 88681824.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (42818681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 392778 + ... + 392886.

It is an arithmetic number, because the mean of its divisors is an integer number (729300).

Almost surely, 2^42818688 is an apocalyptic number.

42818688 is a gapful number since it is divisible by the number (48) 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 42818688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70012800).

42818688 is an abundant number, since it is smaller than the sum of its proper divisors (97206912).

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

42818688 is a wasteful number, since it uses less digits than its factorization.

42818688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 156 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The square root of 42818688 is about 6543.5990097193. The cubic root of 42818688 is about 349.8467029350.

The spelling of 42818688 in words is "forty-two million, eight hundred eighteen thousand, six hundred eighty-eight".