55006848 has 96 divisors (see below), whose sum is σ = 170510340. Its totient is φ = 16920576.

The previous prime is 55006817. The next prime is 55006891. The reversal of 55006848 is 84860055.

It is a happy number.

55006848 is a `hidden beast` number, since 550 + 0 + 68 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44195904 + 10810944 = 6648^2 + 3288^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

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 11 ways as a sum of consecutive naturals, for example, 13140 + ... + 16812.

Almost surely, 2^55006848 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 55006848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85255170).

55006848 is an abundant number, since it is smaller than the sum of its proper divisors (115503492).

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

55006848 is a wasteful number, since it uses less digits than its factorization.

55006848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3706 (or 3691 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 55006848 is about 7416.6601647912. The cubic root of 55006848 is about 380.3110288262.

The spelling of 55006848 in words is "fifty-five million, six thousand, eight hundred forty-eight".