6434624 has 56 divisors (see below), whose sum is σ = 14923008. Its totient is φ = 2695680.

The previous prime is 6434621. The next prime is 6434627. The reversal of 6434624 is 4264346.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6434621) and next prime (6434627).

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6434621) 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, 23609 + ... + 23879.

Almost surely, 2^6434624 is an apocalyptic number.

6434624 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 6434624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7461504).

6434624 is an abundant number, since it is smaller than the sum of its proper divisors (8488384).

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

6434624 is a wasteful number, since it uses less digits than its factorization.

6434624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 333 counting only the distinct ones).

The product of its digits is 13824, while the sum is 29.

The square root of 6434624 is about 2536.6560665569. The cubic root of 6434624 is about 185.9977646473.

The spelling of 6434624 in words is "six million, four hundred thirty-four thousand, six hundred twenty-four".