11245920 has 96 divisors (see below), whose sum is σ = 40497408. Its totient is φ = 2569728.

The previous prime is 11245907. The next prime is 11245921. The reversal of 11245920 is 2954211.

It is a tau number, because it is divible by the number of its divisors (96).

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 (11245921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1687 + ... + 5033.

It is an arithmetic number, because the mean of its divisors is an integer number (421848).

Almost surely, 2^11245920 is an apocalyptic number.

11245920 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 11245920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20248704).

11245920 is an abundant number, since it is smaller than the sum of its proper divisors (29251488).

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

11245920 is a wasteful number, since it uses less digits than its factorization.

11245920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3372 (or 3364 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 11245920 is about 3353.4937006054. The cubic root of 11245920 is about 224.0431464506.

The spelling of 11245920 in words is "eleven million, two hundred forty-five thousand, nine hundred twenty".