10218624 has 128 divisors (see below), whose sum is σ = 30844800. Its totient is φ = 2973696.

The previous prime is 10218617. The next prime is 10218629. The reversal of 10218624 is 42681201.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 10218594 and 10218603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10218629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114772 + ... + 114860.

It is an arithmetic number, because the mean of its divisors is an integer number (240975).

Almost surely, 2^10218624 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 10218624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15422400).

10218624 is an abundant number, since it is smaller than the sum of its proper divisors (20626176).

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

10218624 is a wasteful number, since it uses less digits than its factorization.

10218624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 10218624 is about 3196.6582551158. The cubic root of 10218624 is about 217.0022014826.

Adding to 10218624 its reverse (42681201), we get a palindrome (52899825).

The spelling of 10218624 in words is "ten million, two hundred eighteen thousand, six hundred twenty-four".