5955768 has 160 divisors (see below), whose sum is σ = 20734560. Its totient is φ = 1555200.

The previous prime is 5955749. The next prime is 5955773. The reversal of 5955768 is 8675595.

5955768 is a `hidden beast` number, since 595 + 57 + 6 + 8 = 666.

Its product of digits (378000) is a multiple of the sum of its prime divisors (126).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 58918 + ... + 59018.

It is an arithmetic number, because the mean of its divisors is an integer number (129591).

Almost surely, 2^5955768 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 5955768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10367280).

5955768 is an abundant number, since it is smaller than the sum of its proper divisors (14778792).

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

5955768 is a wasteful number, since it uses less digits than its factorization.

5955768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 126 counting only the distinct ones).

The product of its digits is 378000, while the sum is 45.

The square root of 5955768 is about 2440.4442218580. Note that the first 3 decimals coincide. The cubic root of 5955768 is about 181.2644304008.

The spelling of 5955768 in words is "five million, nine hundred fifty-five thousand, seven hundred sixty-eight".