966541680 has 160 divisors (see below), whose sum is σ = 3585395520. Its totient is φ = 237911040.

The previous prime is 966541679. The next prime is 966541703. The reversal of 966541680 is 86145669.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10870 + ... + 45290.

It is an arithmetic number, because the mean of its divisors is an integer number (22408722).

Almost surely, 2^966541680 is an apocalyptic number.

966541680 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 966541680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792697760).

966541680 is an abundant number, since it is smaller than the sum of its proper divisors (2618853840).

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

966541680 is a wasteful number, since it uses less digits than its factorization.

966541680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34456 (or 34444 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 966541680 is about 31089.2534487401. The cubic root of 966541680 is about 988.7204773920.

The spelling of 966541680 in words is "nine hundred sixty-six million, five hundred forty-one thousand, six hundred eighty".