961013760 has 384 divisors, whose sum is σ = 3632428800. Its totient is φ = 212336640.

The previous prime is 961013737. The next prime is 961013797. The reversal of 961013760 is 67310169.

It is a tau number, because it is divible by the number of its divisors (384).

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, 8816586 + ... + 8816694.

It is an arithmetic number, because the mean of its divisors is an integer number (9459450).

Almost surely, 2^961013760 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 961013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816214400).

961013760 is an abundant number, since it is smaller than the sum of its proper divisors (2671415040).

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

961013760 is a wasteful number, since it uses less digits than its factorization.

961013760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 961013760 is about 31000.2219346894. The cubic root of 961013760 is about 986.8319502345.

The spelling of 961013760 in words is "nine hundred sixty-one million, thirteen thousand, seven hundred sixty".