8653680 has 240 divisors, whose sum is σ = 35515584. Its totient is φ = 1843200.

The previous prime is 8653679. The next prime is 8653691. The reversal of 8653680 is 863568.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 47 ways as a sum of consecutive naturals, for example, 85630 + ... + 85730.

Almost surely, 2^8653680 is an apocalyptic number.

8653680 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 8653680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17757792).

8653680 is an abundant number, since it is smaller than the sum of its proper divisors (26861904).

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

8653680 is a wasteful number, since it uses less digits than its factorization.

8653680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 8653680 is about 2941.7137862137. The cubic root of 8653680 is about 205.3053549705.

The spelling of 8653680 in words is "eight million, six hundred fifty-three thousand, six hundred eighty".