11916400 has 60 divisors (see below), whose sum is σ = 29583424. Its totient is φ = 4612800.

The previous prime is 11916391. The next prime is 11916409. The reversal of 11916400 is 461911.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

11916400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11916391) and next prime (11916409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11916409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 384385 + ... + 384415.

Almost surely, 2^11916400 is an apocalyptic number.

11916400 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 11916400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14791712).

11916400 is an abundant number, since it is smaller than the sum of its proper divisors (17667024).

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

11916400 is an frugal number, since it uses more digits than its factorization.

11916400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 11916400 is about 3452.0139049546. The cubic root of 11916400 is about 228.4099529157.

The spelling of 11916400 in words is "eleven million, nine hundred sixteen thousand, four hundred".