8406696960 has 264 divisors, whose sum is σ = 29288492376. Its totient is φ = 2229534720.

The previous prime is 8406696937. The next prime is 8406696973. The reversal of 8406696960 is 696966048.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2027160576 + 6379536384 = 45024^2 + 79872^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8406696897 and 8406696906.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11104902 + ... + 11105658.

It is an arithmetic number, because the mean of its divisors is an integer number (110941259).

Almost surely, 2^8406696960 is an apocalyptic number.

8406696960 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 8406696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14644246188).

8406696960 is an abundant number, since it is smaller than the sum of its proper divisors (20881795416).

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

8406696960 is a wasteful number, since it uses less digits than its factorization.

8406696960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1008 counting only the distinct ones).

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

The square root of 8406696960 is about 91688.0415321431. The cubic root of 8406696960 is about 2033.3327896323.

The spelling of 8406696960 in words is "eight billion, four hundred six million, six hundred ninety-six thousand, nine hundred sixty".