11964414 has 128 divisors (see below), whose sum is σ = 33177600. Its totient is φ = 2782080.

The previous prime is 11964409. The next prime is 11964427. The reversal of 11964414 is 41446911.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 254539 + ... + 254585.

It is an arithmetic number, because the mean of its divisors is an integer number (259200).

Almost surely, 2^11964414 is an apocalyptic number.

11964414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11964414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16588800).

11964414 is an abundant number, since it is smaller than the sum of its proper divisors (21213186).

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

11964414 is a wasteful number, since it uses less digits than its factorization.

11964414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118.

The product of its digits is 3456, while the sum is 30.

The square root of 11964414 is about 3458.9614048150. The cubic root of 11964414 is about 228.7163144282.

The spelling of 11964414 in words is "eleven million, nine hundred sixty-four thousand, four hundred fourteen".