55345680 has 280 divisors, whose sum is σ = 210616728. Its totient is φ = 13436928.

The previous prime is 55345669. The next prime is 55345723. The reversal of 55345680 is 8654355.

55345680 is a `hidden beast` number, since 553 + 45 + 68 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1411344 + 53934336 = 1188^2 + 7344^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 758124 + ... + 758196.

Almost surely, 2^55345680 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 55345680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105308364).

55345680 is an abundant number, since it is smaller than the sum of its proper divisors (155271048).

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

55345680 is a wasteful number, since it uses less digits than its factorization.

55345680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 55345680 is about 7439.4677228952. The cubic root of 55345680 is about 381.0903127711.

It can be divided in two parts, 553456 and 80, that added together give a square (553536 = 744²).

The spelling of 55345680 in words is "fifty-five million, three hundred forty-five thousand, six hundred eighty".