11700416 has 112 divisors (see below), whose sum is σ = 29870400. Its totient is φ = 4515840.

The previous prime is 11700413. The next prime is 11700419. The reversal of 11700416 is 61400711.

It is an interprime number because it is at equal distance from previous prime (11700413) and next prime (11700419).

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (11700413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285356 + ... + 285396.

It is an arithmetic number, because the mean of its divisors is an integer number (266700).

Almost surely, 2^11700416 is an apocalyptic number.

11700416 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 11700416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14935200).

11700416 is an abundant number, since it is smaller than the sum of its proper divisors (18169984).

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

11700416 is an equidigital number, since it uses as much as digits as its factorization.

11700416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 11700416 is about 3420.5870841129. The cubic root of 11700416 is about 227.0215586270.

The spelling of 11700416 in words is "eleven million, seven hundred thousand, four hundred sixteen".