8714640 has 80 divisors (see below), whose sum is σ = 29480256. Its totient is φ = 2112000.

The previous prime is 8714639. The next prime is 8714669. The reversal of 8714640 is 464178.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 8714598 and 8714607.

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, 990 + ... + 4290.

Almost surely, 2^8714640 is an apocalyptic number.

8714640 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 8714640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14740128).

8714640 is an abundant number, since it is smaller than the sum of its proper divisors (20765616).

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

8714640 is a wasteful number, since it uses less digits than its factorization.

8714640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3328 (or 3322 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 8714640 is about 2952.0569100205. The cubic root of 8714640 is about 205.7863118599.

The spelling of 8714640 in words is "eight million, seven hundred fourteen thousand, six hundred forty".