11406960 has 80 divisors (see below), whose sum is σ = 39298080. Its totient is φ = 3041280.

The previous prime is 11406937. The next prime is 11406961. The reversal of 11406960 is 6960411.

It is a tau number, because it is divible by the number of its divisors (80).

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 (11406961) 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 15 ways as a sum of consecutive naturals, for example, 481 + ... + 4800.

It is an arithmetic number, because the mean of its divisors is an integer number (491226).

Almost surely, 2^11406960 is an apocalyptic number.

11406960 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 11406960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19649040).

11406960 is an abundant number, since it is smaller than the sum of its proper divisors (27891120).

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

11406960 is a wasteful number, since it uses less digits than its factorization.

11406960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5303 (or 5291 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 11406960 is about 3377.4191330067. The cubic root of 11406960 is about 225.1075041823.

It can be divided in two parts, 1140 and 6960, that added together give a square (8100 = 90²).

The spelling of 11406960 in words is "eleven million, four hundred six thousand, nine hundred sixty".