8714000 has 40 divisors (see below), whose sum is σ = 21075288. Its totient is φ = 3484800.

The previous prime is 8713961. The next prime is 8714003. The reversal of 8714000 is 4178.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 234256 + 8479744 = 484^2 + 2912^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (8714003) 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, 179 + ... + 4178.

Almost surely, 2^8714000 is an apocalyptic number.

8714000 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 8714000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10537644).

8714000 is an abundant number, since it is smaller than the sum of its proper divisors (12361288).

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

8714000 is a wasteful number, since it uses less digits than its factorization.

8714000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4380 (or 4364 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 8714000 is about 2951.9485090360. The cubic root of 8714000 is about 205.7812741125.

Adding to 8714000 its reverse (4178), we get a palindrome (8718178).

The spelling of 8714000 in words is "eight million, seven hundred fourteen thousand".