7827642 has 24 divisors (see below), whose sum is σ = 17240340. Its totient is φ = 2566080.

The previous prime is 7827637. The next prime is 7827661. The reversal of 7827642 is 2467287.

7827642 is a `hidden beast` number, since 7 + 8 + 2 + 7 + 642 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7403841 + 423801 = 2721^2 + 651^2 .

It is a super-2 number, since 2×7827642² = 122543958560328, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7827597 and 7827606.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2467 + ... + 4662.

Almost surely, 2^7827642 is an apocalyptic number.

7827642 is an abundant number, since it is smaller than the sum of its proper divisors (9412698).

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

7827642 is a wasteful number, since it uses less digits than its factorization.

7827642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7198 (or 7195 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 7827642 is about 2797.7923439741. The cubic root of 7827642 is about 198.5532430400.

The spelling of 7827642 in words is "seven million, eight hundred twenty-seven thousand, six hundred forty-two".