55649106 has 40 divisors (see below), whose sum is σ = 125256780. Its totient is φ = 18466272.

The previous prime is 55649053. The next prime is 55649107. The reversal of 55649106 is 60194655.

55649106 is a `hidden beast` number, since 5 + 5 + 649 + 1 + 0 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 53802225 + 1846881 = 7335^2 + 1359^2 .

It is not an unprimeable number, because it can be changed into a prime (55649107) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 42940 + ... + 44216.

Almost surely, 2^55649106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55649106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62628390).

55649106 is an abundant number, since it is smaller than the sum of its proper divisors (69607674).

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

55649106 is a wasteful number, since it uses less digits than its factorization.

55649106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 55649106 is about 7459.8328399502. The cubic root of 55649106 is about 381.7854711309.

It can be divided in two parts, 55649 and 106, that added together give a palindrome (55755).

The spelling of 55649106 in words is "fifty-five million, six hundred forty-nine thousand, one hundred six".