963841680 has 400 divisors, whose sum is σ = 3629767680. Its totient is φ = 236307456.

The previous prime is 963841679. The next prime is 963841727. The reversal of 963841680 is 86148369.

963841680 is a `hidden beast` number, since 9 + 638 + 4 + 1 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4322049 + ... + 4322271.

Almost surely, 2^963841680 is an apocalyptic number.

963841680 is a gapful number since it is divisible by the number (90) 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 963841680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814883840).

963841680 is an abundant number, since it is smaller than the sum of its proper divisors (2665926000).

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

963841680 is a wasteful number, since it uses less digits than its factorization.

963841680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 963841680 is about 31045.7997159036. The cubic root of 963841680 is about 987.7989668943.

The spelling of 963841680 in words is "nine hundred sixty-three million, eight hundred forty-one thousand, six hundred eighty".