11203920 has 400 divisors, whose sum is σ = 50413440. Its totient is φ = 2239488.

The previous prime is 11203919. The next prime is 11203949. The reversal of 11203920 is 2930211.

It is a happy number.

11203920 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 (18).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 11203893 and 11203902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 589671 + ... + 589689.

Almost surely, 2^11203920 is an apocalyptic number.

11203920 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 11203920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25206720).

11203920 is an abundant number, since it is smaller than the sum of its proper divisors (39209520).

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

11203920 is a wasteful number, since it uses less digits than its factorization.

11203920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 11203920 is about 3347.2257169184. The cubic root of 11203920 is about 223.7638881135.

11203920 divided by its product of nonzero digits (108) gives a triangular number (103740 = T₄₅₅).

The spelling of 11203920 in words is "eleven million, two hundred three thousand, nine hundred twenty".