55737760 has 96 divisors (see below), whose sum is σ = 143603712. Its totient is φ = 20321280.

The previous prime is 55737733. The next prime is 55737767. The reversal of 55737760 is 6773755.

55737760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (55737767) 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 15 ways as a sum of consecutive naturals, for example, 264055 + ... + 264265.

It is an arithmetic number, because the mean of its divisors is an integer number (1495872).

Almost surely, 2^55737760 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 55737760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71801856).

55737760 is an abundant number, since it is smaller than the sum of its proper divisors (87865952).

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

55737760 is a wasteful number, since it uses less digits than its factorization.

55737760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 154350, while the sum is 40.

The square root of 55737760 is about 7465.7725655152. The cubic root of 55737760 is about 381.9881030258.

The spelling of 55737760 in words is "fifty-five million, seven hundred thirty-seven thousand, seven hundred sixty".