11914416 has 120 divisors (see below), whose sum is σ = 36676224. Its totient is φ = 3594240.

The previous prime is 11914411. The next prime is 11914417. The reversal of 11914416 is 61441911.

11914416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11914416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11914411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75810 + ... + 75966.

Almost surely, 2^11914416 is an apocalyptic number.

11914416 is a gapful number since it is divisible by the number (16) 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 11914416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18338112).

11914416 is an abundant number, since it is smaller than the sum of its proper divisors (24761808).

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

11914416 is a wasteful number, since it uses less digits than its factorization.

11914416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 210 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 11914416 is about 3451.7265245091. The cubic root of 11914416 is about 228.3972759747.

It can be divided in two parts, 119 and 14416, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 11914416 in words is "eleven million, nine hundred fourteen thousand, four hundred sixteen".