9861642 has 48 divisors (see below), whose sum is σ = 25499520. Its totient is φ = 2816856.

The previous prime is 9861637. The next prime is 9861661. The reversal of 9861642 is 2461689.

9861642 is a `hidden beast` number, since 9 + 8 + 6 + 1 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 9861597 and 9861606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 783 + ... + 4509.

It is an arithmetic number, because the mean of its divisors is an integer number (531240).

Almost surely, 2^9861642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9861642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12749760).

9861642 is an abundant number, since it is smaller than the sum of its proper divisors (15637878).

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

9861642 is a wasteful number, since it uses less digits than its factorization.

9861642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3752 (or 3739 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 9861642 is about 3140.3251424017. The cubic root of 9861642 is about 214.4452400681.

It can be divided in two parts, 986 and 1642, that added together give a triangular number (2628 = T₇₂).

The spelling of 9861642 in words is "nine million, eight hundred sixty-one thousand, six hundred forty-two".