10880784 has 80 divisors (see below), whose sum is σ = 31694400. Its totient is φ = 3573504.

The previous prime is 10880777. The next prime is 10880789. The reversal of 10880784 is 48708801.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10880789) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38307 + ... + 38589.

It is an arithmetic number, because the mean of its divisors is an integer number (396180).

Almost surely, 2^10880784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10880784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15847200).

10880784 is an abundant number, since it is smaller than the sum of its proper divisors (20813616).

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

10880784 is a wasteful number, since it uses less digits than its factorization.

10880784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 10880784 is about 3298.6033408096. The cubic root of 10880784 is about 221.5916525591.

It can be divided in two parts, 10880 and 784, that added together give a square (11664 = 108²).

The spelling of 10880784 in words is "ten million, eight hundred eighty thousand, seven hundred eighty-four".