8398632960 has 384 divisors, whose sum is σ = 30698740800. Its totient is φ = 2176450560.

The previous prime is 8398632959. The next prime is 8398632971. The reversal of 8398632960 is 692368938.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8398632897 and 8398632906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10229350 + ... + 10230170.

Almost surely, 2^8398632960 is an apocalyptic number.

8398632960 is a gapful number since it is divisible by the number (80) 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 8398632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15349370400).

8398632960 is an abundant number, since it is smaller than the sum of its proper divisors (22300107840).

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

8398632960 is a wasteful number, since it uses less digits than its factorization.

8398632960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The square root of 8398632960 is about 91644.0557810489. The cubic root of 8398632960 is about 2032.6824334823.

The spelling of 8398632960 in words is "eight billion, three hundred ninety-eight million, six hundred thirty-two thousand, nine hundred sixty".