8214000 has 120 divisors (see below), whose sum is σ = 27217008. Its totient is φ = 2131200.

The previous prime is 8213987. The next prime is 8214007. The reversal of 8214000 is 4128.

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 (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8214007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221982 + ... + 222018.

Almost surely, 2^8214000 is an apocalyptic number.

8214000 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 8214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13608504).

8214000 is an abundant number, since it is smaller than the sum of its proper divisors (19003008).

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

8214000 is a wasteful number, since it uses less digits than its factorization.

8214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 8214000 is about 2866.0076761935. The cubic root of 8214000 is about 201.7676641235.

Multiplying 8214000 by its sum of digits (15), we get a square (123210000 = 11100²).

8214000 divided by its sum of digits (15) gives a square (547600 = 740²).

Adding to 8214000 its reverse (4128), we get a palindrome (8218128).

The spelling of 8214000 in words is "eight million, two hundred fourteen thousand".