8961840 has 120 divisors (see below), whose sum is σ = 31279248. Its totient is φ = 2384640.

The previous prime is 8961811. The next prime is 8961851. The reversal of 8961840 is 481698.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8961795 and 8961804.

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, 19210 + ... + 19670.

Almost surely, 2^8961840 is an apocalyptic number.

8961840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8961840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15639624).

8961840 is an abundant number, since it is smaller than the sum of its proper divisors (22317408).

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

8961840 is a wasteful number, since it uses less digits than its factorization.

8961840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 8961840 is about 2993.6332440698. The cubic root of 8961840 is about 207.7139806443.

It can be divided in two parts, 8961 and 840, that added together give a square (9801 = 99²).

The spelling of 8961840 in words is "eight million, nine hundred sixty-one thousand, eight hundred forty".