10986780 has 144 divisors (see below), whose sum is σ = 37116576. Its totient is φ = 2419200.

The previous prime is 10986779. The next prime is 10986791. The reversal of 10986780 is 8768901.

10986780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108730 + ... + 108830.

It is an arithmetic number, because the mean of its divisors is an integer number (257754).

Almost surely, 2^10986780 is an apocalyptic number.

10986780 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 10986780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18558288).

10986780 is an abundant number, since it is smaller than the sum of its proper divisors (26129796).

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

10986780 is a wasteful number, since it uses less digits than its factorization.

10986780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 10986780 is about 3314.6312012047. The cubic root of 10986780 is about 222.3088793512.

The spelling of 10986780 in words is "ten million, nine hundred eighty-six thousand, seven hundred eighty".