10380880 has 60 divisors (see below), whose sum is σ = 25695900. Its totient is φ = 3899392.

The previous prime is 10380857. The next prime is 10380883. The reversal of 10380880 is 8808301.

It can be written as a sum of positive squares in 6 ways, for example, as 795664 + 9585216 = 892^2 + 3096^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10380883) 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 11 ways as a sum of consecutive naturals, for example, 22896 + ... + 23344.

It is an arithmetic number, because the mean of its divisors is an integer number (428265).

Almost surely, 2^10380880 is an apocalyptic number.

10380880 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 10380880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12847950).

10380880 is an abundant number, since it is smaller than the sum of its proper divisors (15315020).

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

10380880 is a wasteful number, since it uses less digits than its factorization.

10380880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 10380880 is about 3221.9373054111. The cubic root of 10380880 is about 218.1447289648.

The spelling of 10380880 in words is "ten million, three hundred eighty thousand, eight hundred eighty".