55382688 has 72 divisors (see below), whose sum is σ = 159108768. Its totient is φ = 18271872.

The previous prime is 55382687. The next prime is 55382699. The reversal of 55382688 is 88628355.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (55382687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28731 + ... + 30597.

It is an arithmetic number, because the mean of its divisors is an integer number (2209844).

Almost surely, 2^55382688 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 55382688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79554384).

55382688 is an abundant number, since it is smaller than the sum of its proper divisors (103726080).

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

55382688 is a wasteful number, since it uses less digits than its factorization.

55382688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1986 (or 1975 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 55382688 is about 7441.9545819630. The cubic root of 55382688 is about 381.1752350749.

The spelling of 55382688 in words is "fifty-five million, three hundred eighty-two thousand, six hundred eighty-eight".