961759240 has 64 divisors (see below), whose sum is σ = 2346246000. Its totient is φ = 352699392.

The previous prime is 961759213. The next prime is 961759243. The reversal of 961759240 is 42957169.

961759240 = T₂₃₅ + T₂₃₆ + ... + T₁₇₉₄.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 37234404 + 924524836 = 6102^2 + 30406^2 .

It is not an unprimeable number, because it can be changed into a prime (961759243) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 71274 + ... + 83686.

Almost surely, 2^961759240 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 961759240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173123000).

961759240 is an abundant number, since it is smaller than the sum of its proper divisors (1384486760).

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

961759240 is a wasteful number, since it uses less digits than its factorization.

961759240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12586 (or 12582 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 43.

The square root of 961759240 is about 31012.2433887005. The cubic root of 961759240 is about 987.0870535331.

The spelling of 961759240 in words is "nine hundred sixty-one million, seven hundred fifty-nine thousand, two hundred forty".