10388960 has 48 divisors (see below), whose sum is σ = 25401600. Its totient is φ = 4010496.

The previous prime is 10388957. The next prime is 10388993. The reversal of 10388960 is 6988301.

It is a self number, because there is not a number n which added to its sum of digits gives 10388960.

It is a congruent number.

It is an unprimeable number.

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, 3521 + ... + 5759.

It is an arithmetic number, because the mean of its divisors is an integer number (529200).

Almost surely, 2^10388960 is an apocalyptic number.

10388960 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 10388960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12700800).

10388960 is an abundant number, since it is smaller than the sum of its proper divisors (15012640).

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

10388960 is a wasteful number, since it uses less digits than its factorization.

10388960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2283 (or 2275 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 10388960 is about 3223.1909654875. The cubic root of 10388960 is about 218.2013122313.

The spelling of 10388960 in words is "ten million, three hundred eighty-eight thousand, nine hundred sixty".