10083040 has 96 divisors (see below), whose sum is σ = 27597024. Its totient is φ = 3440640.

The previous prime is 10083037. The next prime is 10083049. The reversal of 10083040 is 4038001.

10083040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10083049) 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, 29752 + ... + 30088.

It is an arithmetic number, because the mean of its divisors is an integer number (287469).

Almost surely, 2^10083040 is an apocalyptic number.

10083040 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 10083040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13798512).

10083040 is an abundant number, since it is smaller than the sum of its proper divisors (17513984).

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

10083040 is a wasteful number, since it uses less digits than its factorization.

10083040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 10083040 is about 3175.3802921855. The cubic root of 10083040 is about 216.0381734087.

The spelling of 10083040 in words is "ten million, eighty-three thousand, forty".