55320480 has 144 divisors (see below), whose sum is σ = 193591944. Its totient is φ = 14376960.

The previous prime is 55320469. The next prime is 55320481. The reversal of 55320480 is 8402355.

It can be written as a sum of positive squares in 4 ways, for example, as 15023376 + 40297104 = 3876^2 + 6348^2 .

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

It is not an unprimeable number, because it can be changed into a prime (55320481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58572 + ... + 59508.

Almost surely, 2^55320480 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 55320480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96795972).

55320480 is an abundant number, since it is smaller than the sum of its proper divisors (138271464).

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

55320480 is a wasteful number, since it uses less digits than its factorization.

55320480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 55320480 is about 7437.7738605042. The cubic root of 55320480 is about 381.0324646319.

The spelling of 55320480 in words is "fifty-five million, three hundred twenty thousand, four hundred eighty".