10083920 has 80 divisors (see below), whose sum is σ = 29248128. Its totient is φ = 3141120.

The previous prime is 10083841. The next prime is 10083923. The reversal of 10083920 is 2938001.

10083920 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

10083920 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10083923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5342 + ... + 6978.

Almost surely, 2^10083920 is an apocalyptic number.

10083920 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 10083920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14624064).

10083920 is an abundant number, since it is smaller than the sum of its proper divisors (19164208).

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

10083920 is a wasteful number, since it uses less digits than its factorization.

10083920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 10083920 is about 3175.5188552424. The cubic root of 10083920 is about 216.0444581556.

The spelling of 10083920 in words is "ten million, eighty-three thousand, nine hundred twenty".