10038840 has 256 divisors, whose sum is σ = 39398400. Its totient is φ = 1990656.

The previous prime is 10038839. The next prime is 10038841. The reversal of 10038840 is 4883001.

It is an interprime number because it is at equal distance from previous prime (10038839) and next prime (10038841).

It is a super-3 number, since 3×10038840³ (a number of 22 digits) contains 333 as substring.

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 10038840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10038841) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 271302 + ... + 271338.

It is an arithmetic number, because the mean of its divisors is an integer number (153900).

Almost surely, 2^10038840 is an apocalyptic number.

10038840 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 10038840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19699200).

10038840 is an abundant number, since it is smaller than the sum of its proper divisors (29359560).

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

10038840 is a wasteful number, since it uses less digits than its factorization.

10038840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 90 counting only the distinct ones).

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

The square root of 10038840 is about 3168.4128518866. The cubic root of 10038840 is about 215.7220361402.

It can be divided in two parts, 10038 and 840, that added together give a triangular number (10878 = T₁₄₇).

The spelling of 10038840 in words is "ten million, thirty-eight thousand, eight hundred forty".