966853888 has 270 divisors, whose sum is σ = 2665101082. Its totient is φ = 347719680.

The previous prime is 966853847. The next prime is 966853913. The reversal of 966853888 is 888358669.

It can be written as a sum of positive squares in only one way, i.e., 669360384 + 297493504 = 25872^2 + 17248^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 74373370 + ... + 74373382.

Almost surely, 2^966853888 is an apocalyptic number.

966853888 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 966853888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332550541).

966853888 is an abundant number, since it is smaller than the sum of its proper divisors (1698247194).

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

966853888 is an equidigital number, since it uses as much as digits as its factorization.

966853888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 33 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 61.

The square root of 966853888 is about 31094.2741996014. The cubic root of 966853888 is about 988.8269232972.

The spelling of 966853888 in words is "nine hundred sixty-six million, eight hundred fifty-three thousand, eight hundred eighty-eight".