64468824 has 96 divisors (see below), whose sum is σ = 194584320. Its totient is φ = 17433792.

The previous prime is 64468801. The next prime is 64468849. The reversal of 64468824 is 42886446.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60117 + ... + 61179.

It is an arithmetic number, because the mean of its divisors is an integer number (2026920).

Almost surely, 2^64468824 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 64468824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97292160).

64468824 is an abundant number, since it is smaller than the sum of its proper divisors (130115496).

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

64468824 is a wasteful number, since it uses less digits than its factorization.

64468824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1094 counting only the distinct ones).

The product of its digits is 294912, while the sum is 42.

The square root of 64468824 is about 8029.2480345298. The cubic root of 64468824 is about 400.9743413868.

The spelling of 64468824 in words is "sixty-four million, four hundred sixty-eight thousand, eight hundred twenty-four".