10730880 has 224 divisors, whose sum is σ = 40134960. Its totient is φ = 2737152.

The previous prime is 10730873. The next prime is 10730887. The reversal of 10730880 is 8803701.

It is an interprime number because it is at equal distance from previous prime (10730873) and next prime (10730887).

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 (10730887) 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 27 ways as a sum of consecutive naturals, for example, 466549 + ... + 466571.

Almost surely, 2^10730880 is an apocalyptic number.

10730880 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 10730880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20067480).

10730880 is an abundant number, since it is smaller than the sum of its proper divisors (29404080).

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

10730880 is an frugal number, since it uses more digits than its factorization.

10730880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 10730880 is about 3275.8021918303. The cubic root of 10730880 is about 220.5693243082.

The spelling of 10730880 in words is "ten million, seven hundred thirty thousand, eight hundred eighty".