966114560 has 72 divisors (see below), whose sum is σ = 2322421416. Its totient is φ = 385064960.

The previous prime is 966114551. The next prime is 966114577. The reversal of 966114560 is 65411669.

It can be written as a sum of positive squares in 4 ways, for example, as 101284096 + 864830464 = 10064^2 + 29408^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 404570 + ... + 406950.

It is an arithmetic number, because the mean of its divisors is an integer number (32255853).

Almost surely, 2^966114560 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 966114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161210708).

966114560 is an abundant number, since it is smaller than the sum of its proper divisors (1356306856).

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

966114560 is a wasteful number, since it uses less digits than its factorization.

966114560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2719 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 966114560 is about 31082.3834349942. The cubic root of 966114560 is about 988.5748156235.

The spelling of 966114560 in words is "nine hundred sixty-six million, one hundred fourteen thousand, five hundred sixty".