966633408 has 168 divisors, whose sum is σ = 3005559648. Its totient is φ = 295262208.

The previous prime is 966633347. The next prime is 966633433. The reversal of 966633408 is 804336669.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1250110 + ... + 1250882.

It is an arithmetic number, because the mean of its divisors is an integer number (17890236).

Almost surely, 2^966633408 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 966633408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502779824).

966633408 is an abundant number, since it is smaller than the sum of its proper divisors (2038926240).

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

966633408 is a wasteful number, since it uses less digits than its factorization.

966633408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 966633408 is about 31090.7286501941. The cubic root of 966633408 is about 988.7517540164.

The spelling of 966633408 in words is "nine hundred sixty-six million, six hundred thirty-three thousand, four hundred eight".