64464 has 40 divisors (see below), whose sum is σ = 178560. Its totient is φ = 19968.

The previous prime is 64453. The next prime is 64483. The reversal of 64464 is 46446.

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

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 6⁴ + 4³ + 4³ + 6⁶ + 4⁷ .

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 777 + ... + 855.

It is an arithmetic number, because the mean of its divisors is an integer number (4464).

2⁶⁴⁴⁶⁴ 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 64464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89280).

64464 is an abundant number, since it is smaller than the sum of its proper divisors (114096).

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

64464 is a wasteful number, since it uses less digits than its factorization.

64464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 101 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 64464 is about 253.8976171609. The cubic root of 64464 is about 40.0964339920.

It can be divided in two parts, 64 and 464, that added together give a triangular number (528 = T₃₂).

The spelling of 64464 in words is "sixty-four thousand, four hundred sixty-four".