55929760 has 48 divisors (see below), whose sum is σ = 133480872. Its totient is φ = 22144000.

The previous prime is 55929739. The next prime is 55929761. The reversal of 55929760 is 6792955.

It is a happy number.

55929760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 49956624 + 5973136 = 7068^2 + 2444^2 .

It is not an unprimeable number, because it can be changed into a prime (55929761) by changing a digit.

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, 14430 + ... + 17890.

Almost surely, 2^55929760 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 55929760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66740436).

55929760 is an abundant number, since it is smaller than the sum of its proper divisors (77551112).

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

55929760 is a wasteful number, since it uses less digits than its factorization.

55929760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3577 (or 3569 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 43.

The square root of 55929760 is about 7478.6201935919. The cubic root of 55929760 is about 382.4262121467.

The spelling of 55929760 in words is "fifty-five million, nine hundred twenty-nine thousand, seven hundred sixty".