55537920 has 144 divisors (see below), whose sum is σ = 197205120. Its totient is φ = 14800896.

The previous prime is 55537907. The next prime is 55537921. The reversal of 55537920 is 2973555.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (55537921) 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 15 ways as a sum of consecutive naturals, for example, 33757 + ... + 35363.

It is an arithmetic number, because the mean of its divisors is an integer number (1369480).

Almost surely, 2^55537920 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 55537920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98602560).

55537920 is an abundant number, since it is smaller than the sum of its proper divisors (141667200).

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

55537920 is a wasteful number, since it uses less digits than its factorization.

55537920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 36.

The square root of 55537920 is about 7452.3768020679. The cubic root of 55537920 is about 381.5310345682.

The spelling of 55537920 in words is "fifty-five million, five hundred thirty-seven thousand, nine hundred twenty".