8220464 has 40 divisors (see below), whose sum is σ = 19165440. Its totient is φ = 3336768.

The previous prime is 8220461. The next prime is 8220481. The reversal of 8220464 is 4640228.

8220464 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8220461) 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, 197 + ... + 4059.

It is an arithmetic number, because the mean of its divisors is an integer number (479136).

Almost surely, 2^8220464 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 8220464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9582720).

8220464 is an abundant number, since it is smaller than the sum of its proper divisors (10944976).

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

8220464 is a wasteful number, since it uses less digits than its factorization.

8220464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3897 (or 3891 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 8220464 is about 2867.1351555167. The cubic root of 8220464 is about 201.8205772073.

The spelling of 8220464 in words is "eight million, two hundred twenty thousand, four hundred sixty-four".