966683648 has 88 divisors (see below), whose sum is σ = 2338689312. Its totient is φ = 389873664.

The previous prime is 966683647. The next prime is 966683657. The reversal of 966683648 is 846386669.

It is a super-4 number, since 4×966683648⁴ (a number of 37 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 966683593 and 966683602.

It is not an unprimeable number, because it can be changed into a prime (966683647) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 117890 + ... + 125822.

Almost surely, 2^966683648 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 966683648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169344656).

966683648 is an abundant number, since it is smaller than the sum of its proper divisors (1372005664).

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

966683648 is a wasteful number, since it uses less digits than its factorization.

966683648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7977 (or 7959 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 56.

The square root of 966683648 is about 31091.5365976016. The cubic root of 966683648 is about 988.7688835807.

The spelling of 966683648 in words is "nine hundred sixty-six million, six hundred eighty-three thousand, six hundred forty-eight".