8742888 has 192 divisors, whose sum is σ = 31449600. Its totient is φ = 2125440.

The previous prime is 8742887. The next prime is 8742917. The reversal of 8742888 is 8882478.

8742888 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

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

8742888 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8742887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105295 + ... + 105377.

It is an arithmetic number, because the mean of its divisors is an integer number (163800).

Almost surely, 2^8742888 is an apocalyptic number.

8742888 is a gapful number since it is divisible by the number (88) 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 8742888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15724800).

8742888 is an abundant number, since it is smaller than the sum of its proper divisors (22706712).

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

8742888 is a wasteful number, since it uses less digits than its factorization.

8742888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 125 counting only the distinct ones).

The product of its digits is 229376, while the sum is 45.

The square root of 8742888 is about 2956.8374997622. The cubic root of 8742888 is about 206.0084201793.

The spelling of 8742888 in words is "eight million, seven hundred forty-two thousand, eight hundred eighty-eight".