8961642 has 12 divisors (see below), whose sum is σ = 19416930. Its totient is φ = 2987208.

The previous prime is 8961619. The next prime is 8961661. The reversal of 8961642 is 2461698.

8961642 is a `hidden beast` number, since 8 + 9 + 6 + 1 + 642 = 666.

8961642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8590761 + 370881 = 2931^2 + 609^2 .

It is a super-4 number, since 4×8961642⁴ (a number of 29 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 8961597 and 8961606.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 248917 + ... + 248952.

Almost surely, 2^8961642 is an apocalyptic number.

8961642 is an abundant number, since it is smaller than the sum of its proper divisors (10455288).

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

8961642 is a wasteful number, since it uses less digits than its factorization.

8961642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497877 (or 497874 counting only the distinct ones).

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

The square root of 8961642 is about 2993.6001737039. The cubic root of 8961642 is about 207.7124509112.

The spelling of 8961642 in words is "eight million, nine hundred sixty-one thousand, six hundred forty-two".