55584048 has 80 divisors (see below), whose sum is σ = 155677536. Its totient is φ = 16988160.

The previous prime is 55584047. The next prime is 55584059. The reversal of 55584048 is 84048555.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 55583997 and 55584015.

It is not an unprimeable number, because it can be changed into a prime (55584047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175186 + ... + 175502.

Almost surely, 2^55584048 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 55584048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77838768).

55584048 is an abundant number, since it is smaller than the sum of its proper divisors (100093488).

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

55584048 is a wasteful number, since it uses less digits than its factorization.

55584048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 39.

The square root of 55584048 is about 7455.4710112776. The cubic root of 55584048 is about 381.6366344499.

The spelling of 55584048 in words is "fifty-five million, five hundred eighty-four thousand, forty-eight".