55398240 has 288 divisors, whose sum is σ = 209454336. Its totient is φ = 13271040.

The previous prime is 55398229. The next prime is 55398263. The reversal of 55398240 is 4289355.

55398240 is a `hidden beast` number, since 5 + 539 + 82 + 40 = 666.

55398240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 55398195 and 55398204.

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 47 ways as a sum of consecutive naturals, for example, 758844 + ... + 758916.

It is an arithmetic number, because the mean of its divisors is an integer number (727272).

Almost surely, 2^55398240 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 55398240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104727168).

55398240 is an abundant number, since it is smaller than the sum of its proper divisors (154056096).

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

55398240 is a wasteful number, since it uses less digits than its factorization.

55398240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 55398240 is about 7442.9993954051. Note that the first 3 decimals coincide. The cubic root of 55398240 is about 381.2109109794.

The spelling of 55398240 in words is "fifty-five million, three hundred ninety-eight thousand, two hundred forty".