55532880 has 240 divisors, whose sum is σ = 213267600. Its totient is φ = 12828672.

The previous prime is 55532861. The next prime is 55532881. The reversal of 55532880 is 8823555.

55532880 is a `hidden beast` number, since 5 + 553 + 28 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 576 + 55532304 = 24^2 + 7452^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×55532880² = 6167801522188800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55532881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158946 + ... + 159294.

It is an arithmetic number, because the mean of its divisors is an integer number (888615).

Almost surely, 2^55532880 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 55532880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106633800).

55532880 is an abundant number, since it is smaller than the sum of its proper divisors (157734720).

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

55532880 is a wasteful number, since it uses less digits than its factorization.

55532880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 55532880 is about 7452.0386472428. The cubic root of 55532880 is about 381.5194930570.

The spelling of 55532880 in words is "fifty-five million, five hundred thirty-two thousand, eight hundred eighty".