966571648 has 96 divisors (see below), whose sum is σ = 2358158400. Its totient is φ = 392394240.

The previous prime is 966571643. The next prime is 966571663. The reversal of 966571648 is 846175669.

It is a junction number, because it is equal to n+sod(n) for n = 966571595 and 966571604.

It is not an unprimeable number, because it can be changed into a prime (966571643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115113 + ... + 123223.

It is an arithmetic number, because the mean of its divisors is an integer number (24564150).

Almost surely, 2^966571648 is an apocalyptic number.

966571648 is a gapful number since it is divisible by the number (98) 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 966571648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179079200).

966571648 is an abundant number, since it is smaller than the sum of its proper divisors (1391586752).

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

966571648 is a wasteful number, since it uses less digits than its factorization.

966571648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8158 (or 8139 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 52.

The square root of 966571648 is about 31089.7354121903. The cubic root of 966571648 is about 988.7306958405.

The spelling of 966571648 in words is "nine hundred sixty-six million, five hundred seventy-one thousand, six hundred forty-eight".