8214720 has 112 divisors (see below), whose sum is σ = 26822400. Its totient is φ = 2128896.

The previous prime is 8214709. The next prime is 8214727. The reversal of 8214720 is 274128.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (8214727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41181 + ... + 41379.

Almost surely, 2^8214720 is an apocalyptic number.

8214720 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 8214720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13411200).

8214720 is an abundant number, since it is smaller than the sum of its proper divisors (18607680).

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

8214720 is a wasteful number, since it uses less digits than its factorization.

8214720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 8214720 is about 2866.1332837117. The cubic root of 8214720 is about 201.7735592811.

Adding to 8214720 its reverse (274128), we get a palindrome (8488848).

The spelling of 8214720 in words is "eight million, two hundred fourteen thousand, seven hundred twenty".