10038640 has 40 divisors (see below), whose sum is σ = 24150240. Its totient is φ = 3876096.

The previous prime is 10038629. The next prime is 10038643. The reversal of 10038640 is 4683001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10038643) 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 7 ways as a sum of consecutive naturals, for example, 157 + ... + 4483.

It is an arithmetic number, because the mean of its divisors is an integer number (603756).

Almost surely, 2^10038640 is an apocalyptic number.

10038640 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 10038640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12075120).

10038640 is an abundant number, since it is smaller than the sum of its proper divisors (14111600).

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

10038640 is a wasteful number, since it uses less digits than its factorization.

10038640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4369 (or 4363 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 10038640 is about 3168.3812901859. The cubic root of 10038640 is about 215.7206035479.

It can be divided in two parts, 10038 and 640, that multiplied together give a triangular number (6424320 = T₃₅₈₄).

The spelling of 10038640 in words is "ten million, thirty-eight thousand, six hundred forty".