8406689344 has 63 divisors (see below), whose sum is σ = 17022092067. Its totient is φ = 4119358464.

The previous prime is 8406689341. The next prime is 8406689387. The reversal of 8406689344 is 4439866048.

It is a happy number.

The square root of 8406689344 is 91688.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 176570944 + 8230118400 = 13288^2 + 90720^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8406689291 and 8406689300.

It is not an unprimeable number, because it can be changed into a prime (8406689341) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 53545714 + ... + 53545870.

Almost surely, 2^8406689344 is an apocalyptic number.

8406689344 is the 91688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8406689344

8406689344 is an abundant number, since it is smaller than the sum of its proper divisors (8615402723).

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

8406689344 is an frugal number, since it uses more digits than its factorization.

8406689344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 52.

The cubic root of 8406689344 is about 2033.3321756033.

The spelling of 8406689344 in words is "eight billion, four hundred six million, six hundred eighty-nine thousand, three hundred forty-four".