966784896 has 480 divisors, whose sum is σ = 3672238680. Its totient is φ = 249661440.

The previous prime is 966784843. The next prime is 966784937. The reversal of 966784896 is 698487669.

966784896 is a `hidden beast` number, since 96 + 67 + 8 + 489 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (31352832) is a multiple of the sum of its prime factors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5588266 + ... + 5588438.

Almost surely, 2^966784896 is an apocalyptic number.

966784896 is a gapful number since it is divisible by the number (96) 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 966784896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836119340).

966784896 is an abundant number, since it is smaller than the sum of its proper divisors (2705453784).

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

966784896 is a wasteful number, since it uses less digits than its factorization.

966784896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 196 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The square root of 966784896 is about 31093.1647794174. The cubic root of 966784896 is about 988.8034027595.

The spelling of 966784896 in words is "nine hundred sixty-six million, seven hundred eighty-four thousand, eight hundred ninety-six".