647424 has 54 divisors (see below), whose sum is σ = 1873326. Its totient is φ = 215040.

The previous prime is 647417. The next prime is 647429. The reversal of 647424 is 424746.

It can be written as a sum of positive squares in only one way, i.e., 589824 + 57600 = 768^2 + 240^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 647424.

It is not an unprimeable number, because it can be changed into a prime (647429) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2164 + ... + 2444.

2⁶⁴⁷⁴²⁴ is an apocalyptic number.

647424 is a gapful number since it is divisible by the number (64) 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 647424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936663).

647424 is an abundant number, since it is smaller than the sum of its proper divisors (1225902).

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

647424 is a wasteful number, since it uses less digits than its factorization.

647424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 286 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 647424 is about 804.6266214835. The cubic root of 647424 is about 86.5093266253.

It can be divided in two parts, 64742 and 4, that added together give a palindrome (64746).

The spelling of 647424 in words is "six hundred forty-seven thousand, four hundred twenty-four".