5955040 has 96 divisors (see below), whose sum is σ = 17357760. Its totient is φ = 1880064.

The previous prime is 5955031. The next prime is 5955043. The reversal of 5955040 is 405595.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5955043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14356 + ... + 14764.

It is an arithmetic number, because the mean of its divisors is an integer number (180810).

Almost surely, 2^5955040 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 5955040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8678880).

5955040 is an abundant number, since it is smaller than the sum of its proper divisors (11402720).

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

5955040 is a wasteful number, since it uses less digits than its factorization.

5955040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 28.

The square root of 5955040 is about 2440.2950641265. The cubic root of 5955040 is about 181.2570445142.

The spelling of 5955040 in words is "five million, nine hundred fifty-five thousand, forty".