55856760 has 64 divisors (see below), whose sum is σ = 171672480. Its totient is φ = 14530560.

The previous prime is 55856743. The next prime is 55856777. The reversal of 55856760 is 6765855.

55856760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (55856743) and next prime (55856777).

It is a congruent number.

It is an unprimeable number.

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, 757 + ... + 10596.

Almost surely, 2^55856760 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 55856760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85836240).

55856760 is an abundant number, since it is smaller than the sum of its proper divisors (115815720).

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

55856760 is a wasteful number, since it uses less digits than its factorization.

55856760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11408 (or 11404 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 42.

The square root of 55856760 is about 7473.7380205624. The cubic root of 55856760 is about 382.2597577213.

It can be divided in two parts, 55856 and 760, that added together give a triangular number (56616 = T₃₃₆).

The spelling of 55856760 in words is "fifty-five million, eight hundred fifty-six thousand, seven hundred sixty".