11812416 has 224 divisors, whose sum is σ = 42135552. Its totient is φ = 2826240.

The previous prime is 11812403. The next prime is 11812459. The reversal of 11812416 is 61421811.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251305 + ... + 251351.

Almost surely, 2^11812416 is an apocalyptic number.

11812416 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 11812416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21067776).

11812416 is an abundant number, since it is smaller than the sum of its proper divisors (30323136).

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

11812416 is a wasteful number, since it uses less digits than its factorization.

11812416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 87 counting only the distinct ones).

The product of its digits is 384, while the sum is 24.

The square root of 11812416 is about 3436.9195509933. The cubic root of 11812416 is about 227.7436330514.

The spelling of 11812416 in words is "eleven million, eight hundred twelve thousand, four hundred sixteen".