10384920 has 192 divisors, whose sum is σ = 41670720. Its totient is φ = 2184192.

The previous prime is 10384903. The next prime is 10384949. The reversal of 10384920 is 2948301.

10384920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32602 + ... + 32918.

It is an arithmetic number, because the mean of its divisors is an integer number (217035).

Almost surely, 2^10384920 is an apocalyptic number.

10384920 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 10384920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20835360).

10384920 is an abundant number, since it is smaller than the sum of its proper divisors (31285800).

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

10384920 is a wasteful number, since it uses less digits than its factorization.

10384920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 10384920 is about 3222.5641964125. The cubic root of 10384920 is about 218.1730242668.

The spelling of 10384920 in words is "ten million, three hundred eighty-four thousand, nine hundred twenty".