10880730 has 160 divisors (see below), whose sum is σ = 35544960. Its totient is φ = 2332800.

The previous prime is 10880717. The next prime is 10880743. The reversal of 10880730 is 3708801.

It is an interprime number because it is at equal distance from previous prime (10880717) and next prime (10880743).

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10880694 and 10880703.

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 79 ways as a sum of consecutive naturals, for example, 107680 + ... + 107780.

It is an arithmetic number, because the mean of its divisors is an integer number (222156).

Almost surely, 2^10880730 is an apocalyptic number.

10880730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10880730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17772480).

10880730 is an abundant number, since it is smaller than the sum of its proper divisors (24664230).

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

10880730 is a wasteful number, since it uses less digits than its factorization.

10880730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 137 counting only the distinct ones).

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

The square root of 10880730 is about 3298.5951555170. The cubic root of 10880730 is about 221.5912859811.

The spelling of 10880730 in words is "ten million, eight hundred eighty thousand, seven hundred thirty".