8087742 has 64 divisors (see below), whose sum is σ = 19897920. Its totient is φ = 2419200.

The previous prime is 8087731. The next prime is 8087753. The reversal of 8087742 is 2477808.

It is an interprime number because it is at equal distance from previous prime (8087731) and next prime (8087753).

It is a junction number, because it is equal to n+sod(n) for n = 8087697 and 8087706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28642 + ... + 28922.

It is an arithmetic number, because the mean of its divisors is an integer number (310905).

Almost surely, 2^8087742 is an apocalyptic number.

8087742 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 8087742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9948960).

8087742 is an abundant number, since it is smaller than the sum of its proper divisors (11810178).

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

8087742 is a wasteful number, since it uses less digits than its factorization.

8087742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 8087742 is about 2843.8955677029. The cubic root of 8087742 is about 200.7285263578.

The spelling of 8087742 in words is "eight million, eighty-seven thousand, seven hundred forty-two".