5961120 has 96 divisors (see below), whose sum is σ = 20502720. Its totient is φ = 1443840.

The previous prime is 5961119. The next prime is 5961127. The reversal of 5961120 is 211695.

5961120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-3 number, since 3×5961120³ (a number of 21 digits) contains 333 as substring.

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

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (5961127) 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, 4716 + ... + 5844.

It is an arithmetic number, because the mean of its divisors is an integer number (213570).

Almost surely, 2^5961120 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 5961120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10251360).

5961120 is an abundant number, since it is smaller than the sum of its proper divisors (14541600).

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

5961120 is a wasteful number, since it uses less digits than its factorization.

5961120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 5961120 is about 2441.5404973090. The cubic root of 5961120 is about 181.3187103741.

The spelling of 5961120 in words is "five million, nine hundred sixty-one thousand, one hundred twenty".