8123742 has 48 divisors (see below), whose sum is σ = 19459440. Its totient is φ = 2428800.

The previous prime is 8123737. The next prime is 8123747. The reversal of 8123742 is 2473218.

It is an interprime number because it is at equal distance from previous prime (8123737) and next prime (8123747).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8123747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17392 + ... + 17852.

It is an arithmetic number, because the mean of its divisors is an integer number (405405).

Almost surely, 2^8123742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8123742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9729720).

8123742 is an abundant number, since it is smaller than the sum of its proper divisors (11335698).

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

8123742 is a wasteful number, since it uses less digits than its factorization.

8123742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 566 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 8123742 is about 2850.2178864080. The cubic root of 8123742 is about 201.0259118596.

It can be divided in two parts, 812 and 3742, that added together give a palindrome (4554).

The spelling of 8123742 in words is "eight million, one hundred twenty-three thousand, seven hundred forty-two".