11416920 has 64 divisors (see below), whose sum is σ = 34668000. Its totient is φ = 3007488.

The previous prime is 11416907. The next prime is 11416921. The reversal of 11416920 is 2961411.

11416920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11416921) 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, 10146 + ... + 11214.

Almost surely, 2^11416920 is an apocalyptic number.

11416920 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 11416920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17334000).

11416920 is an abundant number, since it is smaller than the sum of its proper divisors (23251080).

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

11416920 is a wasteful number, since it uses less digits than its factorization.

11416920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 11416920 is about 3378.8933099463. The cubic root of 11416920 is about 225.1730027464.

The spelling of 11416920 in words is "eleven million, four hundred sixteen thousand, nine hundred twenty".