55838880 has 144 divisors (see below), whose sum is σ = 201847464. Its totient is φ = 14008320.

The previous prime is 55838879. The next prime is 55838899. The reversal of 55838880 is 8883855.

It can be written as a sum of positive squares in 4 ways, for example, as 52012944 + 3825936 = 7212^2 + 1956^2 .

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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23340 + ... + 25620.

Almost surely, 2^55838880 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 55838880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100923732).

55838880 is an abundant number, since it is smaller than the sum of its proper divisors (146008584).

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

55838880 is a wasteful number, since it uses less digits than its factorization.

55838880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2319 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The square root of 55838880 is about 7472.5417362501. The cubic root of 55838880 is about 382.2189656794.

The spelling of 55838880 in words is "fifty-five million, eight hundred thirty-eight thousand, eight hundred eighty".