5911920 has 320 divisors, whose sum is σ = 25712640. Its totient is φ = 1216512.

The previous prime is 5911901. The next prime is 5911921. The reversal of 5911920 is 291195.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5911921) 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 63 ways as a sum of consecutive naturals, for example, 257029 + ... + 257051.

It is an arithmetic number, because the mean of its divisors is an integer number (80352).

Almost surely, 2^5911920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5911920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12856320).

5911920 is an abundant number, since it is smaller than the sum of its proper divisors (19800720).

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

5911920 is a wasteful number, since it uses less digits than its factorization.

5911920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 5911920 is about 2431.4440153950. Note that the first 3 decimals coincide. The cubic root of 5911920 is about 180.8184947275.

It can be divided in two parts, 5 and 911920, that added together give a triangular number (911925 = T₁₃₅₀).

The spelling of 5911920 in words is "five million, nine hundred eleven thousand, nine hundred twenty".