55536640 has 44 divisors (see below), whose sum is σ = 133235136. Its totient is φ = 22212608.

The previous prime is 55536629. The next prime is 55536643. The reversal of 55536640 is 4663555.

It is a junction number, because it is equal to n+sod(n) for n = 55536596 and 55536605.

It is not an unprimeable number, because it can be changed into a prime (55536643) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 304 + ... + 10543.

Almost surely, 2^55536640 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 55536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66617568).

55536640 is an abundant number, since it is smaller than the sum of its proper divisors (77698496).

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

55536640 is a wasteful number, since it uses less digits than its factorization.

55536640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10872 (or 10854 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 34.

The square root of 55536640 is about 7452.2909229310. The cubic root of 55536640 is about 381.5281034569.

The spelling of 55536640 in words is "fifty-five million, five hundred thirty-six thousand, six hundred forty".