55407648 has 96 divisors (see below), whose sum is σ = 157429440. Its totient is φ = 17003520.

The previous prime is 55407647. The next prime is 55407659. The reversal of 55407648 is 84670455.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55407647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67078 + ... + 67898.

It is an arithmetic number, because the mean of its divisors is an integer number (1639890).

Almost surely, 2^55407648 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 55407648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78714720).

55407648 is an abundant number, since it is smaller than the sum of its proper divisors (102021792).

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

55407648 is a wasteful number, since it uses less digits than its factorization.

55407648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 55407648 is about 7443.6313718507. The cubic root of 55407648 is about 381.2324894582.

The spelling of 55407648 in words is "fifty-five million, four hundred seven thousand, six hundred forty-eight".