5655040 has 60 divisors (see below), whose sum is σ = 13853466. Its totient is φ = 2213888.

The previous prime is 5655037. The next prime is 5655049. The reversal of 5655040 is 405565.

5655040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5089536 + 565504 = 2256^2 + 752^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5654996 and 5655014.

It is not an unprimeable number, because it can be changed into a prime (5655049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 120297 + ... + 120343.

Almost surely, 2^5655040 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 5655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6926733).

5655040 is an abundant number, since it is smaller than the sum of its proper divisors (8198426).

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

5655040 is an frugal number, since it uses more digits than its factorization.

5655040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 5655040 is about 2378.0328004466. The cubic root of 5655040 is about 178.1606931653.

The spelling of 5655040 in words is "five million, six hundred fifty-five thousand, forty".