961460000 has 60 divisors (see below), whose sum is σ = 2365385022. Its totient is φ = 384576000.

The previous prime is 961459991. The next prime is 961460039. The reversal of 961460000 is 64169.

961460000 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 5 ways, for example, as 64577296 + 896882704 = 8036^2 + 29948^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4037 + ... + 44036.

Almost surely, 2^961460000 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 961460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182692511).

961460000 is an abundant number, since it is smaller than the sum of its proper divisors (1403925022).

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

961460000 is an equidigital number, since it uses as much as digits as its factorization.

961460000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48103 (or 48080 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 961460000 is about 31007.4184671991. The cubic root of 961460000 is about 986.9846694308.

The spelling of 961460000 in words is "nine hundred sixty-one million, four hundred sixty thousand".