55385360 has 40 divisors (see below), whose sum is σ = 133216920. Its totient is φ = 21389312.

The previous prime is 55385327. The next prime is 55385387. The reversal of 55385360 is 6358355.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 802816 + 54582544 = 896^2 + 7388^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×55385360³ (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 55385360.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9617 + ... + 14256.

It is an arithmetic number, because the mean of its divisors is an integer number (3330423).

Almost surely, 2^55385360 is an apocalyptic number.

It is an amenable number.

55385360 is an abundant number, since it is smaller than the sum of its proper divisors (77831560).

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

55385360 is a wasteful number, since it uses less digits than its factorization.

55385360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23915 (or 23909 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 35.

The square root of 55385360 is about 7442.1341025273. The cubic root of 55385360 is about 381.1813650522.

The spelling of 55385360 in words is "fifty-five million, three hundred eighty-five thousand, three hundred sixty".