10083840 has 160 divisors (see below), whose sum is σ = 35060256. Its totient is φ = 2457600.

The previous prime is 10083823. The next prime is 10083841. The reversal of 10083840 is 4838001.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10083840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10083841) 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, 99790 + ... + 99890.

Almost surely, 2^10083840 is an apocalyptic number.

10083840 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 10083840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17530128).

10083840 is an abundant number, since it is smaller than the sum of its proper divisors (24976416).

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

10083840 is a wasteful number, since it uses less digits than its factorization.

10083840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 10083840 is about 3175.5062588507. The cubic root of 10083840 is about 216.0438868301.

The spelling of 10083840 in words is "ten million, eighty-three thousand, eight hundred forty".