961238880 has 576 divisors, whose sum is σ = 4136832000. Its totient is φ = 207277056.

The previous prime is 961238879. The next prime is 961238881. The reversal of 961238880 is 88832169.

961238880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (961238879) and next prime (961238881).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961238881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4021801 + ... + 4022039.

It is an arithmetic number, because the mean of its divisors is an integer number (7182000).

Almost surely, 2^961238880 is an apocalyptic number.

961238880 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 961238880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068416000).

961238880 is an abundant number, since it is smaller than the sum of its proper divisors (3175593120).

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

961238880 is a wasteful number, since it uses less digits than its factorization.

961238880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 961238880 is about 31003.8526638223. The cubic root of 961238880 is about 986.9090002114.

The spelling of 961238880 in words is "nine hundred sixty-one million, two hundred thirty-eight thousand, eight hundred eighty".