7842006 has 48 divisors (see below), whose sum is σ = 17886960. Its totient is φ = 2479680.

The previous prime is 7841989. The next prime is 7842013. The reversal of 7842006 is 6002487.

It is a super-2 number, since 2×7842006² = 122994116208072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43236 + ... + 43416.

It is an arithmetic number, because the mean of its divisors is an integer number (372645).

Almost surely, 2^7842006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7842006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8943480).

7842006 is an abundant number, since it is smaller than the sum of its proper divisors (10044954).

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

7842006 is a wasteful number, since it uses less digits than its factorization.

7842006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 298 counting only the distinct ones).

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

The square root of 7842006 is about 2800.3581913748. The cubic root of 7842006 is about 198.6746195686.

The spelling of 7842006 in words is "seven million, eight hundred forty-two thousand, six".