55406560 has 48 divisors (see below), whose sum is σ = 142802352. Its totient is φ = 20147200.

The previous prime is 55406557. The next prime is 55406569. The reversal of 55406560 is 6560455.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55406569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13981 + ... + 17500.

It is an arithmetic number, because the mean of its divisors is an integer number (2975049).

Almost surely, 2^55406560 is an apocalyptic number.

It is an amenable number.

55406560 is an abundant number, since it is smaller than the sum of its proper divisors (87395792).

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

55406560 is a wasteful number, since it uses less digits than its factorization.

55406560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31507 (or 31499 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The square root of 55406560 is about 7443.5582888831. The cubic root of 55406560 is about 381.2299941128.

It can be divided in two parts, 5540 and 6560, that added together give a square (12100 = 110²).

The spelling of 55406560 in words is "fifty-five million, four hundred six thousand, five hundred sixty".