961530240 has 256 divisors, whose sum is σ = 3410553600. Its totient is φ = 228433920.

The previous prime is 961530239. The next prime is 961530259. The reversal of 961530240 is 42035169.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 961530198 and 961530207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1118931 + ... + 1119789.

It is an arithmetic number, because the mean of its divisors is an integer number (13322475).

Almost surely, 2^961530240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705276800).

961530240 is an abundant number, since it is smaller than the sum of its proper divisors (2449023360).

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

961530240 is a wasteful number, since it uses less digits than its factorization.

961530240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 961530240 is about 31008.5510786944. The cubic root of 961530240 is about 987.0087037518.

The spelling of 961530240 in words is "nine hundred sixty-one million, five hundred thirty thousand, two hundred forty".