55358240 has 144 divisors (see below), whose sum is σ = 159268032. Its totient is φ = 18095616.

The previous prime is 55358227. The next prime is 55358287. The reversal of 55358240 is 4285355.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 55358197 and 55358206.

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 23 ways as a sum of consecutive naturals, for example, 180167 + ... + 180473.

It is an arithmetic number, because the mean of its divisors is an integer number (1106028).

Almost surely, 2^55358240 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 55358240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79634016).

55358240 is an abundant number, since it is smaller than the sum of its proper divisors (103909792).

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

55358240 is a wasteful number, since it uses less digits than its factorization.

55358240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The square root of 55358240 is about 7440.3118214225. The cubic root of 55358240 is about 381.1191384614.

The spelling of 55358240 in words is "fifty-five million, three hundred fifty-eight thousand, two hundred forty".