7986042 has 36 divisors (see below), whose sum is σ = 18276570. Its totient is φ = 2519856.

The previous prime is 7986029. The next prime is 7986047. The reversal of 7986042 is 2406897.

It can be written as a sum of positive squares in only one way, i.e., 4447881 + 3538161 = 2109^2 + 1881^2 .

It is a junction number, because it is equal to n+sod(n) for n = 7985988 and 7986006.

It is not an unprimeable number, because it can be changed into a prime (7986047) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5884 + ... + 7112.

Almost surely, 2^7986042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7986042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9138285).

7986042 is an abundant number, since it is smaller than the sum of its proper divisors (10290528).

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

7986042 is a wasteful number, since it uses less digits than its factorization.

7986042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 7986042 is about 2825.9585984228. The cubic root of 7986042 is about 199.8836156199.

Subtracting from 7986042 its sum of digits (36), we obtain a triangular number (7986006 = T₃₉₉₆).

It can be divided in two parts, 7 and 986042, that added together give a square (986049 = 993²).

The spelling of 7986042 in words is "seven million, nine hundred eighty-six thousand, forty-two".