55838080 has 64 divisors (see below), whose sum is σ = 136659600. Its totient is φ = 21805056.

The previous prime is 55838071. The next prime is 55838087. The reversal of 55838080 is 8083855.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55838087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26506 + ... + 28534.

Almost surely, 2^55838080 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 55838080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68329800).

55838080 is an abundant number, since it is smaller than the sum of its proper divisors (80821520).

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

55838080 is a wasteful number, since it uses less digits than its factorization.

55838080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2091 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

The square root of 55838080 is about 7472.4882067488. The cubic root of 55838080 is about 382.2171403286.

The spelling of 55838080 in words is "fifty-five million, eight hundred thirty-eight thousand, eighty".