55878048 has 144 divisors (see below), whose sum is σ = 171419976. Its totient is φ = 17203200.

The previous prime is 55878037. The next prime is 55878071. The reversal of 55878048 is 84087855.

It can be written as a sum of positive squares in 4 ways, for example, as 51667344 + 4210704 = 7188^2 + 2052^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 55877994 and 55878012.

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, 494440 + ... + 494552.

Almost surely, 2^55878048 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 55878048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85709988).

55878048 is an abundant number, since it is smaller than the sum of its proper divisors (115541928).

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

55878048 is a wasteful number, since it uses less digits than its factorization.

55878048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 55878048 is about 7475.1620718216. The cubic root of 55878048 is about 382.3083135401.

It can be divided in two parts, 558 and 78048, that added together give a triangular number (78606 = T₃₉₆).

The spelling of 55878048 in words is "fifty-five million, eight hundred seventy-eight thousand, forty-eight".