10007424 has 192 divisors, whose sum is σ = 35324640. Its totient is φ = 2654208.

The previous prime is 10007423. The next prime is 10007429. The reversal of 10007424 is 42470001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10007397 and 10007406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10007423) 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, 137052 + ... + 137124.

Almost surely, 2^10007424 is an apocalyptic number.

10007424 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 10007424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17662320).

10007424 is an abundant number, since it is smaller than the sum of its proper divisors (25317216).

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

10007424 is a wasteful number, since it uses less digits than its factorization.

10007424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 10007424 is about 3163.4512798524. The cubic root of 10007424 is about 215.4967708921.

Adding to 10007424 its reverse (42470001), we get a palindrome (52477425).

The spelling of 10007424 in words is "ten million, seven thousand, four hundred twenty-four".