55736208 has 160 divisors (see below), whose sum is σ = 179809920. Its totient is φ = 16381440.

The previous prime is 55736203. The next prime is 55736209. The reversal of 55736208 is 80263755.

55736208 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55736201) 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 31 ways as a sum of consecutive naturals, for example, 175666 + ... + 175982.

It is an arithmetic number, because the mean of its divisors is an integer number (1123812).

Almost surely, 2^55736208 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 55736208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89904960).

55736208 is an abundant number, since it is smaller than the sum of its proper divisors (124073712).

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

55736208 is a wasteful number, since it uses less digits than its factorization.

55736208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 55736208 is about 7465.6686237738. The cubic root of 55736208 is about 381.9845575476.

It can be divided in two parts, 5573 and 6208, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 55736208 in words is "fifty-five million, seven hundred thirty-six thousand, two hundred eight".