11161920 has 224 divisors, whose sum is σ = 44476416. Its totient is φ = 2304000.

The previous prime is 11161907. The next prime is 11161921. The reversal of 11161920 is 2916111.

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 (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11161921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73845 + ... + 73995.

Almost surely, 2^11161920 is an apocalyptic number.

11161920 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 11161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22238208).

11161920 is an abundant number, since it is smaller than the sum of its proper divisors (33314496).

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

11161920 is a wasteful number, since it uses less digits than its factorization.

11161920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 21.

The square root of 11161920 is about 3340.9459738224. The cubic root of 11161920 is about 223.4839309999.

The spelling of 11161920 in words is "eleven million, one hundred sixty-one thousand, nine hundred twenty".