10389600 has 288 divisors, whose sum is σ = 41559840. Its totient is φ = 2488320.

The previous prime is 10389551. The next prime is 10389607. The reversal of 10389600 is 698301.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10389607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 280782 + ... + 280818.

It is an arithmetic number, because the mean of its divisors is an integer number (144305).

Almost surely, 2^10389600 is an apocalyptic number.

10389600 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 10389600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20779920).

10389600 is an abundant number, since it is smaller than the sum of its proper divisors (31170240).

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

10389600 is a wasteful number, since it uses less digits than its factorization.

10389600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10389600 is about 3223.2902444552. The cubic root of 10389600 is about 218.2057928200.

The spelling of 10389600 in words is "ten million, three hundred eighty-nine thousand, six hundred".