10326624 has 144 divisors (see below), whose sum is σ = 34320384. Its totient is φ = 2661120.

The previous prime is 10326623. The next prime is 10326637. The reversal of 10326624 is 42662301.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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 = 10326594 and 10326603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10326623) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81249 + ... + 81375.

It is an arithmetic number, because the mean of its divisors is an integer number (238336).

Almost surely, 2^10326624 is an apocalyptic number.

10326624 is a gapful number since it is divisible by the number (14) 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 10326624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17160192).

10326624 is an abundant number, since it is smaller than the sum of its proper divisors (23993760).

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

10326624 is a wasteful number, since it uses less digits than its factorization.

10326624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 10326624 is about 3213.5064960258. The cubic root of 10326624 is about 217.7640181351.

Adding to 10326624 its reverse (42662301), we get a palindrome (52988925).

The spelling of 10326624 in words is "ten million, three hundred twenty-six thousand, six hundred twenty-four".