55680240 has 320 divisors, whose sum is σ = 226271232. Its totient is φ = 10982400.

The previous prime is 55680221. The next prime is 55680271. The reversal of 55680240 is 4208655.

55680240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 55680198 and 55680207.

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 63 ways as a sum of consecutive naturals, for example, 424975 + ... + 425105.

Almost surely, 2^55680240 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 55680240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113135616).

55680240 is an abundant number, since it is smaller than the sum of its proper divisors (170590992).

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

55680240 is a wasteful number, since it uses less digits than its factorization.

55680240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 55680240 is about 7461.9193241417. The cubic root of 55680240 is about 381.8566570174.

Adding to 55680240 its reverse (4208655), we get a palindrome (59888895).

The spelling of 55680240 in words is "fifty-five million, six hundred eighty thousand, two hundred forty".