11406980 has 48 divisors (see below), whose sum is σ = 26194224. Its totient is φ = 4147200.

The previous prime is 11406971. The next prime is 11406991. The reversal of 11406980 is 8960411.

It can be written as a sum of positive squares in 8 ways, for example, as 23104 + 11383876 = 152^2 + 3374^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18680 + ... + 19280.

It is an arithmetic number, because the mean of its divisors is an integer number (545713).

Almost surely, 2^11406980 is an apocalyptic number.

11406980 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 11406980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13097112).

11406980 is an abundant number, since it is smaller than the sum of its proper divisors (14787244).

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

11406980 is a wasteful number, since it uses less digits than its factorization.

11406980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 11406980 is about 3377.4220938461. The cubic root of 11406980 is about 225.1076357437.

The spelling of 11406980 in words is "eleven million, four hundred six thousand, nine hundred eighty".