8214468 has 48 divisors (see below), whose sum is σ = 20631744. Its totient is φ = 2534400.

The previous prime is 8214467. The next prime is 8214469. The reversal of 8214468 is 8644128.

It is an interprime number because it is at equal distance from previous prime (8214467) and next prime (8214469).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (8214461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13368 + ... + 13968.

It is an arithmetic number, because the mean of its divisors is an integer number (429828).

Almost surely, 2^8214468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8214468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10315872).

8214468 is an abundant number, since it is smaller than the sum of its proper divisors (12417276).

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

8214468 is a wasteful number, since it uses less digits than its factorization.

8214468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 690 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 8214468 is about 2866.0893217065. The cubic root of 8214468 is about 201.7714960151.

The spelling of 8214468 in words is "eight million, two hundred fourteen thousand, four hundred sixty-eight".