8419680 has 96 divisors (see below), whose sum is σ = 29484000. Its totient is φ = 2244096.

The previous prime is 8419661. The next prime is 8419727. The reversal of 8419680 is 869148.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×8419680² = 141782022604800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3346 + ... + 5294.

It is an arithmetic number, because the mean of its divisors is an integer number (307125).

Almost surely, 2^8419680 is an apocalyptic number.

8419680 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 8419680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14742000).

8419680 is an abundant number, since it is smaller than the sum of its proper divisors (21064320).

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

8419680 is a wasteful number, since it uses less digits than its factorization.

8419680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1973 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 8419680 is about 2901.6684855441. The cubic root of 8419680 is about 203.4378989777.

The spelling of 8419680 in words is "eight million, four hundred nineteen thousand, six hundred eighty".