55669680 has 300 divisors, whose sum is σ = 215517456. Its totient is φ = 13305600.

The previous prime is 55669661. The next prime is 55669681. The reversal of 55669680 is 8696655.

55669680 is a `hidden beast` number, since 5 + 566 + 9 + 6 + 80 = 666.

55669680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×55669680² = 6198226542604800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (55669681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 784045 + ... + 784115.

Almost surely, 2^55669680 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 55669680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107758728).

55669680 is an abundant number, since it is smaller than the sum of its proper divisors (159847776).

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

55669680 is a wasteful number, since it uses less digits than its factorization.

55669680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 55669680 is about 7461.2116978410. The cubic root of 55669680 is about 381.8325152319.

The spelling of 55669680 in words is "fifty-five million, six hundred sixty-nine thousand, six hundred eighty".