11416680 has 192 divisors, whose sum is σ = 42897600. Its totient is φ = 2678400.

The previous prime is 11416679. The next prime is 11416681. The reversal of 11416680 is 8661411.

It is an interprime number because it is at equal distance from previous prime (11416679) and next prime (11416681).

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 (11416681) 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 47 ways as a sum of consecutive naturals, for example, 368265 + ... + 368295.

It is an arithmetic number, because the mean of its divisors is an integer number (223425).

Almost surely, 2^11416680 is an apocalyptic number.

11416680 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 11416680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21448800).

11416680 is an abundant number, since it is smaller than the sum of its proper divisors (31480920).

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

11416680 is a wasteful number, since it uses less digits than its factorization.

11416680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 11416680 is about 3378.8577951728. The cubic root of 11416680 is about 225.1714249157.

The spelling of 11416680 in words is "eleven million, four hundred sixteen thousand, six hundred eighty".