8455680 has 120 divisors (see below), whose sum is σ = 29364192. Its totient is φ = 2248704.

The previous prime is 8455679. The next prime is 8455691. The reversal of 8455680 is 865548.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 11 ways as a sum of consecutive naturals, for example, 22857 + ... + 23223.

Almost surely, 2^8455680 is an apocalyptic number.

8455680 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 8455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14682096).

8455680 is an abundant number, since it is smaller than the sum of its proper divisors (20908512).

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

8455680 is a wasteful number, since it uses less digits than its factorization.

8455680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 8455680 is about 2907.8651963253. The cubic root of 8455680 is about 203.7274329831.

The spelling of 8455680 in words is "eight million, four hundred fifty-five thousand, six hundred eighty".