8464 has 15 divisors (see below), whose sum is σ = 17143. Its totient is φ = 4048.

The previous prime is 8461. The next prime is 8467. The reversal of 8464 is 4648.

8464 = T₉₁ + T₉₂.

8464 = 7² + 8² + ... + 29².

The square root of 8464 is 92.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (8461) and next prime (8467).

It is a Duffinian number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (8461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 357 + ... + 379.

2⁸⁴⁶⁴ is an apocalyptic number.

8464 is the 92-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8464

8464 is an abundant number, since it is smaller than the sum of its proper divisors (8679).

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

8464 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (8463) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (54).

8464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 25 counting only the distinct ones).

The product of its digits is 768, while the sum is 22.

The cubic root of 8464 is about 20.3794230552.

The spelling of 8464 in words is "eight thousand, four hundred sixty-four".