10388640 has 96 divisors (see below), whose sum is σ = 34183296. Its totient is φ = 2647040.

The previous prime is 10388633. The next prime is 10388657. The reversal of 10388640 is 4688301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10388598 and 10388607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10570 + ... + 11510.

It is an arithmetic number, because the mean of its divisors is an integer number (356076).

Almost surely, 2^10388640 is an apocalyptic number.

10388640 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 10388640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17091648).

10388640 is an abundant number, since it is smaller than the sum of its proper divisors (23794656).

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

10388640 is a wasteful number, since it uses less digits than its factorization.

10388640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 10388640 is about 3223.1413248569. The cubic root of 10388640 is about 218.1990718679.

The spelling of 10388640 in words is "ten million, three hundred eighty-eight thousand, six hundred forty".