966725760 has 512 divisors, whose sum is σ = 4145541120. Its totient is φ = 185057280.

The previous prime is 966725741. The next prime is 966725789. The reversal of 966725760 is 67527669.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1921669 + ... + 1922171.

It is an arithmetic number, because the mean of its divisors is an integer number (8096760).

Almost surely, 2^966725760 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 966725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072770560).

966725760 is an abundant number, since it is smaller than the sum of its proper divisors (3178815360).

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

966725760 is a wasteful number, since it uses less digits than its factorization.

966725760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 48.

The square root of 966725760 is about 31092.2138163239. The cubic root of 966725760 is about 988.7832414080.

The spelling of 966725760 in words is "nine hundred sixty-six million, seven hundred twenty-five thousand, seven hundred sixty".