10424920 has 128 divisors (see below), whose sum is σ = 28512000. Its totient is φ = 3386880.

The previous prime is 10424879. The next prime is 10424951. The reversal of 10424920 is 2942401.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 10424891 and 10424900.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 242419 + ... + 242461.

It is an arithmetic number, because the mean of its divisors is an integer number (222750).

Almost surely, 2^10424920 is an apocalyptic number.

10424920 is a gapful number since it is divisible by the number (10) 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 10424920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14256000).

10424920 is an abundant number, since it is smaller than the sum of its proper divisors (18087080).

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

10424920 is a wasteful number, since it uses less digits than its factorization.

10424920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 10424920 is about 3228.7644695766. The cubic root of 10424920 is about 218.4527805634.

The spelling of 10424920 in words is "ten million, four hundred twenty-four thousand, nine hundred twenty".