961725960 has 448 divisors, whose sum is σ = 3635755200. Its totient is φ = 227308032.

The previous prime is 961725953. The next prime is 961725967. The reversal of 961725960 is 69527169.

It is a happy number.

961725960 is a `hidden beast` number, since 9 + 617 + 25 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (961725953) and next prime (961725967).

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

It is not an unprimeable number, because it can be changed into a prime (961725967) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 16300411 + ... + 16300469.

It is an arithmetic number, because the mean of its divisors is an integer number (8115525).

Almost surely, 2^961725960 is an apocalyptic number.

961725960 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 961725960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817877600).

961725960 is an abundant number, since it is smaller than the sum of its proper divisors (2674029240).

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

961725960 is a wasteful number, since it uses less digits than its factorization.

961725960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 961725960 is about 31011.7068217794. The cubic root of 961725960 is about 987.0756679269.

The spelling of 961725960 in words is "nine hundred sixty-one million, seven hundred twenty-five thousand, nine hundred sixty".