9846642 has 32 divisors (see below), whose sum is σ = 21732480. Its totient is φ = 2954880.

The previous prime is 9846637. The next prime is 9846643. The reversal of 9846642 is 2466489.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 9846642.

It is not an unprimeable number, because it can be changed into a prime (9846643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1659 + ... + 4737.

It is an arithmetic number, because the mean of its divisors is an integer number (679140).

Almost surely, 2^9846642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9846642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10866240).

9846642 is an abundant number, since it is smaller than the sum of its proper divisors (11885838).

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

9846642 is a wasteful number, since it uses less digits than its factorization.

9846642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3138.

The product of its digits is 82944, while the sum is 39.

The square root of 9846642 is about 3137.9359458090. The cubic root of 9846642 is about 214.3364579510.

It can be divided in two parts, 984 and 6642, that added together give a triangular number (7626 = T₁₂₃).

The spelling of 9846642 in words is "nine million, eight hundred forty-six thousand, six hundred forty-two".