966614496 has 48 divisors (see below), whose sum is σ = 2548501200. Its totient is φ = 320790528.

The previous prime is 966614489. The next prime is 966614527. The reversal of 966614496 is 694416669.

966614496 is a nontrivial binomial coefficient, being equal to C(43969, 2).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 43968.

It is an arithmetic number, because the mean of its divisors is an integer number (53093775).

Almost surely, 2^966614496 is an apocalyptic number.

966614496 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

966614496 is the 43968-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 966614496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274250600).

966614496 is an abundant number, since it is smaller than the sum of its proper divisors (1581886704).

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

966614496 is a wasteful number, since it uses less digits than its factorization.

966614496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44211 (or 44203 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 51.

The square root of 966614496 is about 31090.4245065904. The cubic root of 966614496 is about 988.7453057272.

The spelling of 966614496 in words is "nine hundred sixty-six million, six hundred fourteen thousand, four hundred ninety-six".