55006064 has 40 divisors (see below), whose sum is σ = 117075840. Its totient is φ = 24919488.

The previous prime is 55006037. The next prime is 55006109. The reversal of 55006064 is 46060055.

55006064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 3059 + ... + 10925.

It is an arithmetic number, because the mean of its divisors is an integer number (2926896).

Almost surely, 2^55006064 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 55006064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58537920).

55006064 is an abundant number, since it is smaller than the sum of its proper divisors (62069776).

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

55006064 is a wasteful number, since it uses less digits than its factorization.

55006064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7917 (or 7911 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 55006064 is about 7416.6073106239. The cubic root of 55006064 is about 380.3092219890.

The spelling of 55006064 in words is "fifty-five million, six thousand, sixty-four".