10421424 has 120 divisors (see below), whose sum is σ = 33174960. Its totient is φ = 3027456.

The previous prime is 10421417. The next prime is 10421429. The reversal of 10421424 is 42412401.

10421424 = 24³ + 25³ + ... + 80³.

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 = 10421397 and 10421406.

It is not an unprimeable number, because it can be changed into a prime (10421429) 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, 35422 + ... + 35714.

It is an arithmetic number, because the mean of its divisors is an integer number (276458).

Almost surely, 2^10421424 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 10421424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16587480).

10421424 is an abundant number, since it is smaller than the sum of its proper divisors (22753536).

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

10421424 is a wasteful number, since it uses less digits than its factorization.

10421424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 10421424 is about 3228.2230406216. The cubic root of 10421424 is about 218.4283584317.

Adding to 10421424 its reverse (42412401), we get a palindrome (52833825).

It can be divided in two parts, 104 and 21424, that added together give a triangular number (21528 = T₂₀₇).

The spelling of 10421424 in words is "ten million, four hundred twenty-one thousand, four hundred twenty-four".