961518240 has 144 divisors (see below), whose sum is σ = 3302856648. Its totient is φ = 254711808.

The previous prime is 961518211. The next prime is 961518263. The reversal of 961518240 is 42815169.

961518240 is a `hidden beast` number, since 9 + 615 + 18 + 24 + 0 = 666.

961518240 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 4 ways, for example, as 467078544 + 494439696 = 21612^2 + 22236^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 = 961518195 and 961518204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223954 + ... + 228206.

Almost surely, 2^961518240 is an apocalyptic number.

961518240 is a gapful number since it is divisible by the number (90) 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 961518240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651428324).

961518240 is an abundant number, since it is smaller than the sum of its proper divisors (2341338408).

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

961518240 is a wasteful number, since it uses less digits than its factorization.

With its successor (961518241) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (4431).

961518240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4431 (or 4420 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 961518240 is about 31008.3575830775. The cubic root of 961518240 is about 987.0045977434.

The spelling of 961518240 in words is "nine hundred sixty-one million, five hundred eighteen thousand, two hundred forty".