8409680 has 40 divisors (see below), whose sum is σ = 20189184. Its totient is φ = 3254400.

The previous prime is 8409671. The next prime is 8409689. The reversal of 8409680 is 869048.

It is an interprime number because it is at equal distance from previous prime (8409671) and next prime (8409689).

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 8409680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8409689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 785 + ... + 4175.

Almost surely, 2^8409680 is an apocalyptic number.

8409680 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 8409680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10094592).

8409680 is an abundant number, since it is smaller than the sum of its proper divisors (11779504).

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

8409680 is a wasteful number, since it uses less digits than its factorization.

8409680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3435 (or 3429 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 8409680 is about 2899.9448270614. The cubic root of 8409680 is about 203.3573264410.

The spelling of 8409680 in words is "eight million, four hundred nine thousand, six hundred eighty".